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Finding the Fourth Proportional to 16,715.25, 25,074.09 and 6,327

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Solution

The fourth proportional to 16,715.25, 25,074.09 and 6,327 is: 9,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715.25 : 25,074.09 = 6,327 : x
  2. Step 2: Convert to fraction form
    16,715.25/25,074.09 = 6,327/x
  3. Step 3: Cross multiply
    16,715.25x = 25,074.09 × 6,327
  4. Step 4: Simplify right side
    16,715.25x = 158,643,767.43
  5. Step 5: Solve for x
    x = 158,643,767.43/16,715.25
  6. Step 6: Final answer
    x = 9,490.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.