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Finding the Fourth Proportional to 6,462.68, 9,693.96 and 2,761.76

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Solution

The fourth proportional to 6,462.68, 9,693.96 and 2,761.76 is: 4,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.68 : 9,693.96 = 2,761.76 : x
  2. Step 2: Convert to fraction form
    6,462.68/9,693.96 = 2,761.76/x
  3. Step 3: Cross multiply
    6,462.68x = 9,693.96 × 2,761.76
  4. Step 4: Simplify right side
    6,462.68x = 26,772,390.97
  5. Step 5: Solve for x
    x = 26,772,390.97/6,462.68
  6. Step 6: Final answer
    x = 4,142.61

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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.