Question

Solve each proportion

Answer 1

The solution to the proportion
`\( (10)/(7) = (x)/(49) \) is`
`\( x = 70 \)`.

To solve the proportion
`((10)/(7) = ?/49)`, we can cross-multiply to find the value of the unknown fraction.

Cross-multiplying both sides of the equation by the LCM of the denominators (in this case, the LCM of 7 and 49 is 420), we get: To solve the proportion
`\( (10)/(7) = (x)/(49) \)` , you can use cross-multiplication.

Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.

Here's how you can solve it:

`\[ 10 * 49 = 7 * x \]`

`\[ 490 = 7x \]`

Now, solve for x by dividing both sides of the equation by 7:

`\[ x = (490)/(7) \]`

`\[ x = 70 \]`

Therefore, the solution to the proportion
`\( (10)/(7) = (x)/(49) \) is`
`\( x = 70 \)`.