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Finding the Fourth Proportional to 6,337.60, 8,746.32 and 3,542.56

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Solution

The fourth proportional to 6,337.60, 8,746.32 and 3,542.56 is: 4,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.60 : 8,746.32 = 3,542.56 : x
  2. Step 2: Convert to fraction form
    6,337.60/8,746.32 = 3,542.56/x
  3. Step 3: Cross multiply
    6,337.60x = 8,746.32 × 3,542.56
  4. Step 4: Simplify right side
    6,337.60x = 30,984,363.38
  5. Step 5: Solve for x
    x = 30,984,363.38/6,337.60
  6. Step 6: Final answer
    x = 4,888.97

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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.