Studdy AI Logo
Math

QuestionFind xx in the proportion 9:14::x:569: 14:: x: 56.

Studdy Solution

STEP 1

Assumptions1. The given proportion is914::x56. The proportion means that the ratio of9 to14 is the same as the ratio of x to56

STEP 2

We can write the proportion as a fraction equation.914=x56\frac{9}{14} = \frac{x}{56}

STEP 3

To solve for x, we can cross-multiply. This means multiplying the numerator of the first fraction by the denominator of the second fraction and setting it equal to the product of the denominator of the first fraction and the numerator of the second fraction.
9×56=14×x9 \times56 =14 \times x

STEP 4

Calculate the product of9 and56.
9×56=5049 \times56 =504So, the equation becomes504=14×x504 =14 \times x

STEP 5

To solve for x, divide both sides of the equation by14.
x=50414x = \frac{504}{14}

STEP 6

Calculate the value of x.
x=50414=36x = \frac{504}{14} =36So, the value of x that makes the proportion true is36.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord