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Finding the Fourth Proportional to 6,337.14, 8,747.91 and 4,671.78

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Solution

The fourth proportional to 6,337.14, 8,747.91 and 4,671.78 is: 6,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.14 : 8,747.91 = 4,671.78 : x
  2. Step 2: Convert to fraction form
    6,337.14/8,747.91 = 4,671.78/x
  3. Step 3: Cross multiply
    6,337.14x = 8,747.91 × 4,671.78
  4. Step 4: Simplify right side
    6,337.14x = 40,868,310.98
  5. Step 5: Solve for x
    x = 40,868,310.98/6,337.14
  6. Step 6: Final answer
    x = 6,449.02

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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.