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Finding the Fourth Proportional to 22,879, 34,324.26 and 6,463

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Solution

The fourth proportional to 22,879, 34,324.26 and 6,463 is: 9,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879 : 34,324.26 = 6,463 : x
  2. Step 2: Convert to fraction form
    22,879/34,324.26 = 6,463/x
  3. Step 3: Cross multiply
    22,879x = 34,324.26 × 6,463
  4. Step 4: Simplify right side
    22,879x = 221,837,692.38
  5. Step 5: Solve for x
    x = 221,837,692.38/22,879
  6. Step 6: Final answer
    x = 9,696.13

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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.