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Finding the Fourth Proportional to 6,737.27, 10,090.40 and 6,503.78

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Solution

The fourth proportional to 6,737.27, 10,090.40 and 6,503.78 is: 9,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.27 : 10,090.40 = 6,503.78 : x
  2. Step 2: Convert to fraction form
    6,737.27/10,090.40 = 6,503.78/x
  3. Step 3: Cross multiply
    6,737.27x = 10,090.40 × 6,503.78
  4. Step 4: Simplify right side
    6,737.27x = 65,625,658.74
  5. Step 5: Solve for x
    x = 65,625,658.74/6,737.27
  6. Step 6: Final answer
    x = 9,740.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.