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Finding the Fourth Proportional to 22,978.38, 34,467.57 and 6,562.38

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Solution

The fourth proportional to 22,978.38, 34,467.57 and 6,562.38 is: 9,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.38 : 34,467.57 = 6,562.38 : x
  2. Step 2: Convert to fraction form
    22,978.38/34,467.57 = 6,562.38/x
  3. Step 3: Cross multiply
    22,978.38x = 34,467.57 × 6,562.38
  4. Step 4: Simplify right side
    22,978.38x = 226,189,292.02
  5. Step 5: Solve for x
    x = 226,189,292.02/22,978.38
  6. Step 6: Final answer
    x = 9,843.57

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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.