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Finding the Fourth Proportional to 10,504.86, 15,740.87 and 6,601.07

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Solution

The fourth proportional to 10,504.86, 15,740.87 and 6,601.07 is: 9,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.86 : 15,740.87 = 6,601.07 : x
  2. Step 2: Convert to fraction form
    10,504.86/15,740.87 = 6,601.07/x
  3. Step 3: Cross multiply
    10,504.86x = 15,740.87 × 6,601.07
  4. Step 4: Simplify right side
    10,504.86x = 103,906,584.73
  5. Step 5: Solve for x
    x = 103,906,584.73/10,504.86
  6. Step 6: Final answer
    x = 9,891.29

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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.