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Finding the Fourth Proportional to 27,562.16, 38,049 and 16,960.88

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Solution

The fourth proportional to 27,562.16, 38,049 and 16,960.88 is: 23,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.16 : 38,049 = 16,960.88 : x
  2. Step 2: Convert to fraction form
    27,562.16/38,049 = 16,960.88/x
  3. Step 3: Cross multiply
    27,562.16x = 38,049 × 16,960.88
  4. Step 4: Simplify right side
    27,562.16x = 645,344,523.12
  5. Step 5: Solve for x
    x = 645,344,523.12/27,562.16
  6. Step 6: Final answer
    x = 23,414.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.