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Finding the Fourth Proportional to 6,487.09, 9,732.15 and 2,327.54

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Solution

The fourth proportional to 6,487.09, 9,732.15 and 2,327.54 is: 3,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.09 : 9,732.15 = 2,327.54 : x
  2. Step 2: Convert to fraction form
    6,487.09/9,732.15 = 2,327.54/x
  3. Step 3: Cross multiply
    6,487.09x = 9,732.15 × 2,327.54
  4. Step 4: Simplify right side
    6,487.09x = 22,651,919.75
  5. Step 5: Solve for x
    x = 22,651,919.75/6,487.09
  6. Step 6: Final answer
    x = 3,491.85

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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.