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Finding the Fourth Proportional to 6,468.46, 9,710.89 and 5,500.71

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Solution

The fourth proportional to 6,468.46, 9,710.89 and 5,500.71 is: 8,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.46 : 9,710.89 = 5,500.71 : x
  2. Step 2: Convert to fraction form
    6,468.46/9,710.89 = 5,500.71/x
  3. Step 3: Cross multiply
    6,468.46x = 9,710.89 × 5,500.71
  4. Step 4: Simplify right side
    6,468.46x = 53,416,775.98
  5. Step 5: Solve for x
    x = 53,416,775.98/6,468.46
  6. Step 6: Final answer
    x = 8,258.04

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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.