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Finding the Fourth Proportional to 22,757.75, 34,142.39 and 6,341.75

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Solution

The fourth proportional to 22,757.75, 34,142.39 and 6,341.75 is: 9,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.75 : 34,142.39 = 6,341.75 : x
  2. Step 2: Convert to fraction form
    22,757.75/34,142.39 = 6,341.75/x
  3. Step 3: Cross multiply
    22,757.75x = 34,142.39 × 6,341.75
  4. Step 4: Simplify right side
    22,757.75x = 216,522,501.78
  5. Step 5: Solve for x
    x = 216,522,501.78/22,757.75
  6. Step 6: Final answer
    x = 9,514.23

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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.