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Finding the Fourth Proportional to 7,169.01, 10,753.70 and 3,470.55

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Solution

The fourth proportional to 7,169.01, 10,753.70 and 3,470.55 is: 5,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.01 : 10,753.70 = 3,470.55 : x
  2. Step 2: Convert to fraction form
    7,169.01/10,753.70 = 3,470.55/x
  3. Step 3: Cross multiply
    7,169.01x = 10,753.70 × 3,470.55
  4. Step 4: Simplify right side
    7,169.01x = 37,321,195.86
  5. Step 5: Solve for x
    x = 37,321,195.86/7,169.01
  6. Step 6: Final answer
    x = 5,205.91

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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.