Finding the Fourth Proportional to 11,596, 16,002.96 and 6,628
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Solution
The fourth proportional to 11,596, 16,002.96 and 6,628 is: 9,146.91
Step by Step Solution
- Step 1: Write the proportion equation
11,596 : 16,002.96 = 6,628 : x - Step 2: Convert to fraction form
11,596/16,002.96 = 6,628/x - Step 3: Cross multiply
11,596x = 16,002.96 × 6,628 - Step 4: Simplify right side
11,596x = 106,067,618.88 - Step 5: Solve for x
x = 106,067,618.88/11,596 - Step 6: Final answer
x = 9,146.91
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.