Solving proportions using cross products:
32/12 = 64/k
To solve this proportion using cross products, we can cross-multiply.
Cross-multiplying means multiplying the numerator of one fraction by the denominator of the other fraction.
32 * k = 12 * 64
32k = 768
Divide both sides of the equation by 32:
k = 768 / 32
Simplify the right side:
k = 24
So the value of k that satisfies the proportion is 24.
whats the simple answer
The simplified answer is k = 24.
To solve the proportion 32/12 = 64/k using cross products, we can follow these steps:
Step 1: Multiply the numerator of the first fraction (32) by the denominator of the second fraction (k).
32 * k = 32k
Step 2: Multiply the denominator of the first fraction (12) by the numerator of the second fraction (64).
12 * 64 = 768
Step 3: Set the two products equal to each other:
32k = 768
Step 4: Solve for k by dividing both sides of the equation by 32:
k = 768/32
Step 5: Simplify the fraction on the right-hand side:
k = 24
Therefore, the value of k that solves the proportion is 24.
To solve the proportion using cross products, you can follow these steps:
Step 1: Start by writing the proportion equation:
32/12 = 64/k
Step 2: Cross multiply by multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa. It can be written as:
32 * k = 64 * 12
Step 3: Simplify the equation:
32k = 768
Step 4: Divide both sides of the equation by 32 to isolate the variable k:
k = 768/32
Step 5: Simplify the expression:
k = 24
So, the solution to the proportion is k = 24.