Question

What is the proportions for this problem?


15/15 = 10/x


15/10 = 10/x


10/15 = 10/x

Answer 1

To solve proportions, we can use the concept of cross-multiplication. Let's analyze each equation one by one.

1. **For the equation \( \frac{15}{15} = \frac{10}{x} \):**
\[
15 \cdot x = 15 \cdot 10
\]
\[
15x = 150
\]
\[
x = \frac{150}{15} = 10
\]

2. **For the equation \( \frac{15}{10} = \frac{10}{x} \):**
\[
15 \cdot x = 10 \cdot 10
\]
\[
15x = 100
\]
\[
x = \frac{100}{15} \approx 6.67
\]

3. **For the equation \( \frac{10}{15} = \frac{10}{x} \):**
\[
10 \cdot x = 15 \cdot 10
\]
\[
10x = 150
\]
\[
x = \frac{150}{10} = 15
\]

Now we have the solutions for \(x\) as follows:
- From the first equation, \( x = 10 \)
- From the second equation, \( x \approx 6.67 \)
- From the third equation, \( x = 15 \)

So, the proportion for each problem gives different values for \(x\).