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Finding the Fourth Proportional to 8,428.62, 12,648.56 and 3,498.26

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Solution

The fourth proportional to 8,428.62, 12,648.56 and 3,498.26 is: 5,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.62 : 12,648.56 = 3,498.26 : x
  2. Step 2: Convert to fraction form
    8,428.62/12,648.56 = 3,498.26/x
  3. Step 3: Cross multiply
    8,428.62x = 12,648.56 × 3,498.26
  4. Step 4: Simplify right side
    8,428.62x = 44,247,897.01
  5. Step 5: Solve for x
    x = 44,247,897.01/8,428.62
  6. Step 6: Final answer
    x = 5,249.72

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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.