Q4. - Algebra 1

Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{n}{9}=\frac{6}{27}$

Step-by-Step Solution

Answer

The value of $n=2$.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c} \frac{n}{9}=\frac{6}{27}\\ n\left(27\right)=\left(6\right)9\end{array}$

Step-3. Simplify for n .

To further simplify, divide each side by 27.

$$\begin{gathered} n\left(27\right)=\left(6\right)9 \\ 27n=54 \\ n=\frac{54}{27} \\ n=2 \end{gathered}$$

Therefore, the value of $n=2$.