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Finding the Fourth Proportional to 8,174.52, 12,261.78 and 2,251.50

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Solution

The fourth proportional to 8,174.52, 12,261.78 and 2,251.50 is: 3,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.52 : 12,261.78 = 2,251.50 : x
  2. Step 2: Convert to fraction form
    8,174.52/12,261.78 = 2,251.50/x
  3. Step 3: Cross multiply
    8,174.52x = 12,261.78 × 2,251.50
  4. Step 4: Simplify right side
    8,174.52x = 27,607,397.67
  5. Step 5: Solve for x
    x = 27,607,397.67/8,174.52
  6. Step 6: Final answer
    x = 3,377.25

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1.5x scale

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.