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Finding the Fourth Proportional to 8,647.26, 12,974.25 and 3,456.78

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Solution

The fourth proportional to 8,647.26, 12,974.25 and 3,456.78 is: 5,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.26 : 12,974.25 = 3,456.78 : x
  2. Step 2: Convert to fraction form
    8,647.26/12,974.25 = 3,456.78/x
  3. Step 3: Cross multiply
    8,647.26x = 12,974.25 × 3,456.78
  4. Step 4: Simplify right side
    8,647.26x = 44,849,127.92
  5. Step 5: Solve for x
    x = 44,849,127.92/8,647.26
  6. Step 6: Final answer
    x = 5,186.51

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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.