Chapter SR6, Problem 23P

Solution

To solve the proportion $\frac{9}{8}=\frac{x}{6}$ .

  $x=6.75$

Given:

The proportion, $\frac{9}{8}=\frac{x}{6}$ .

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 $\frac{9}{8}=\frac{x}{6}$ , isolate the variable on one side by performing basic algebraic operations and simplify further as shown below

  $\begin{array}{c}\frac{9}{8}=\frac{x}{6}\\ 9\cdot 6=x\cdot 8\\ \frac{9\cdot 6}{8}=\frac{x\cdot 8}{8}\\ \frac{54}{8}=x\\ \Rightarrow x=6.75\end{array}$

Thus, the solution of the proportion is $x=6.75$ .