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Finding the Fourth Proportional to 8,825.46, 13,238.01 and 2,251.50

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Solution

The fourth proportional to 8,825.46, 13,238.01 and 2,251.50 is: 3,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.46 : 13,238.01 = 2,251.50 : x
  2. Step 2: Convert to fraction form
    8,825.46/13,238.01 = 2,251.50/x
  3. Step 3: Cross multiply
    8,825.46x = 13,238.01 × 2,251.50
  4. Step 4: Simplify right side
    8,825.46x = 29,805,379.52
  5. Step 5: Solve for x
    x = 29,805,379.52/8,825.46
  6. Step 6: Final answer
    x = 3,377.20

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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.