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Finding the Fourth Proportional to 7,174.64, 10,761.15 and 2,493.86

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Solution

The fourth proportional to 7,174.64, 10,761.15 and 2,493.86 is: 3,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.64 : 10,761.15 = 2,493.86 : x
  2. Step 2: Convert to fraction form
    7,174.64/10,761.15 = 2,493.86/x
  3. Step 3: Cross multiply
    7,174.64x = 10,761.15 × 2,493.86
  4. Step 4: Simplify right side
    7,174.64x = 26,836,801.54
  5. Step 5: Solve for x
    x = 26,836,801.54/7,174.64
  6. Step 6: Final answer
    x = 3,740.51

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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.