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Finding the Fourth Proportional to 27,737, 38,276.34 and 16,407.08

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Solution

The fourth proportional to 27,737, 38,276.34 and 16,407.08 is: 22,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737 : 38,276.34 = 16,407.08 : x
  2. Step 2: Convert to fraction form
    27,737/38,276.34 = 16,407.08/x
  3. Step 3: Cross multiply
    27,737x = 38,276.34 × 16,407.08
  4. Step 4: Simplify right side
    27,737x = 628,002,972.49
  5. Step 5: Solve for x
    x = 628,002,972.49/27,737
  6. Step 6: Final answer
    x = 22,641.34

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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.