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Finding the Fourth Proportional to 6,711.27, 9,260.71 and 3,726.70

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Solution

The fourth proportional to 6,711.27, 9,260.71 and 3,726.70 is: 5,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.27 : 9,260.71 = 3,726.70 : x
  2. Step 2: Convert to fraction form
    6,711.27/9,260.71 = 3,726.70/x
  3. Step 3: Cross multiply
    6,711.27x = 9,260.71 × 3,726.70
  4. Step 4: Simplify right side
    6,711.27x = 34,511,855.57
  5. Step 5: Solve for x
    x = 34,511,855.57/6,711.27
  6. Step 6: Final answer
    x = 5,142.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.