Ratio Trick | Find the value of "x" in Proportion

Описание: Ratio Trick | Find the value of "x" in Proportion

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This video contains a complete mathematical procedure of finding the value of "x" in a proportion. This video will help you in finding any 4th unknown figure/number in a mathematical proportion.

Find the value of x in proportion" refers to solving for the unknown value (x) in a proportional relationship or equation. In mathematics, a proportion represents the equality of two ratios or fractions. The key objective is to determine the value of the missing variable (x) that maintains the proportion's balance.

To solve for x in a proportion, you typically use the properties of proportions and cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and vice versa, equating the two products to find the unknown value.

Here's a step-by-step approach to finding the value of x in a proportion:

Identify the given proportion: Look for a statement or equation that establishes the proportional relationship between two sets of numbers or variables. It usually takes the form of "a/b = c/x" or "a:b = c:x," where a, b, c, and x are the known and unknown values.

Write out the proportion: Clearly write down the proportion you need to solve, ensuring you understand which values are known and which are unknown. Place the known values in their corresponding places within the proportion.

Cross-multiply: Multiply the numerator of the first fraction by the denominator of the second fraction and vice versa. This step results in two products.

Set up an equation: Equate the two products obtained from cross-multiplication. This equation will involve the known values and the unknown value (x).

Solve the equation: Use algebraic methods to isolate x on one side of the equation. This typically involves simplifying and rearranging the equation, performing inverse operations (such as addition, subtraction, multiplication, or division) to get x by itself.

Calculate the value of x: Once you have successfully solved the equation, the resulting value of x will be the solution to the proportion.

It's important to note that proportions can also involve more complex algebraic expressions or involve multiple ratios. In such cases, the steps outlined above may be applied with appropriate adjustments to solve for x.

By following these steps, you can find the value of x in a proportion and determine how it relates to the other known values in the given equation or problem.

Ratio Trick | Find the value of "x" in Proportion #short #maths #mathtricks

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