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Finding the Fourth Proportional to 38,046.96, 57,073.68 and 9,966.90

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Solution

The fourth proportional to 38,046.96, 57,073.68 and 9,966.90 is: 14,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.96 : 57,073.68 = 9,966.90 : x
  2. Step 2: Convert to fraction form
    38,046.96/57,073.68 = 9,966.90/x
  3. Step 3: Cross multiply
    38,046.96x = 57,073.68 × 9,966.90
  4. Step 4: Simplify right side
    38,046.96x = 568,847,661.19
  5. Step 5: Solve for x
    x = 568,847,661.19/38,046.96
  6. Step 6: Final answer
    x = 14,951.20

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1.5x scale

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.