To solve: The proportion 12n=2369 for the given variable n.

Expert answers to "To solve: The proportion 12n=2369 for the given..."

remolatg

2021-08-20

To solve: The proportion

\frac{12}{n} = \frac{\frac{2}{3}}{\frac{6}{9}}

for the given variable n.

funblogC

Skilled2021-08-21Added 91 answers

Approach:
If two ratios are equal then it is a proportion. If

\frac{p}{q}

and

\frac{r}{s}

are two ratios, then

\frac{p}{q} = \frac{r}{s}

is a proportion.
Ex:

\frac{3}{4} = \frac{15}{20}

For finding unknown numbers in proportions, we use cross product to find the unknown number.
Ex:

\frac{2}{7} = \frac{x}{14}

Here in the example x is the unknown number. To calculate the value of x, we use the cross product.
Calculation:
Given

\frac{12}{n} = \frac{\frac{2}{3}}{\frac{6}{9}}

Apply the cross product in order to find the unknown number.

12 \times \frac{6}{9} = n \times \frac{2}{3}

Cancel out the common factors.

8 = \frac{2 n}{3}

Multiply both the sides by

\frac{3}{2}

8 \times \frac{3}{2} = \frac{2 n}{3} \times \frac{3}{2}

Cancel out common factors

12 = n

Final statement: The solution for the proportion

\frac{12}{n} = \frac{\frac{2}{3}}{\frac{6}{9}}

for the indicated variable is

n = 12

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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