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Finding the Fourth Proportional to 6,337.96, 9,498.68 and 3,412.82

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Solution

The fourth proportional to 6,337.96, 9,498.68 and 3,412.82 is: 5,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.96 : 9,498.68 = 3,412.82 : x
  2. Step 2: Convert to fraction form
    6,337.96/9,498.68 = 3,412.82/x
  3. Step 3: Cross multiply
    6,337.96x = 9,498.68 × 3,412.82
  4. Step 4: Simplify right side
    6,337.96x = 32,417,285.08
  5. Step 5: Solve for x
    x = 32,417,285.08/6,337.96
  6. Step 6: Final answer
    x = 5,114.78

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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.