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Finding the Fourth Proportional to 27,469.68, 37,908 and 14,894.16

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Solution

The fourth proportional to 27,469.68, 37,908 and 14,894.16 is: 20,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.68 : 37,908 = 14,894.16 : x
  2. Step 2: Convert to fraction form
    27,469.68/37,908 = 14,894.16/x
  3. Step 3: Cross multiply
    27,469.68x = 37,908 × 14,894.16
  4. Step 4: Simplify right side
    27,469.68x = 564,607,817.28
  5. Step 5: Solve for x
    x = 564,607,817.28/27,469.68
  6. Step 6: Final answer
    x = 20,553.85

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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.