Question

Solve the proportion.

$\frac{r}{6}=\frac{10.5}{9}$

Short answer

The value of $r$in the given proportion is 7.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{r}{6}=\frac{10.5}{9}$.

Step 2. Calculation.

Consider the proportion given:

$\frac{r}{6}=\frac{10.5}{9}$

Multiply each side by 6.

$\begin{array}{c}6\cdot \frac{r}{6}=6\cdot \frac{10.5}{9}\\ r=\frac{21}{3}\text{[simplify]}\\ r=\text{7[divide]}\end{array}$

Step 3. Conclusion.

The value of $r$ in the given proportion is 7.