Chapter SR6, Problem 13P

Solution

To solve the proportion $\frac{x}{14}=\frac{12}{24}$ .

  $x=7$

Given:

The proportion, $\frac{x}{14}=\frac{12}{24}$ .

Concept Used:

• The opposite operation of addition is subtraction and the opposite operation of subtraction is addition.
• The opposite operation of multiplication is division and the opposite operation of division is multiplication.

Calculation:

In order to solve the proportion $\frac{x}{14}=\frac{12}{24}$ , isolate the variable term on one side by performing basic algebraic operations and simplify further as shown below

  $\begin{array}{c}\frac{x}{14}=\frac{12}{24}\\ \frac{x}{14}\cdot 14=\frac{12}{24}\cdot 14\\ x=\frac{168}{24}\\ x=7\end{array}$

Thus, the solution of the proportion is $x=7$ .