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Finding the Fourth Proportional to 22,471.43, 33,701.67 and 9,311.15

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Solution

The fourth proportional to 22,471.43, 33,701.67 and 9,311.15 is: 13,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.43 : 33,701.67 = 9,311.15 : x
  2. Step 2: Convert to fraction form
    22,471.43/33,701.67 = 9,311.15/x
  3. Step 3: Cross multiply
    22,471.43x = 33,701.67 × 9,311.15
  4. Step 4: Simplify right side
    22,471.43x = 313,801,388.87
  5. Step 5: Solve for x
    x = 313,801,388.87/22,471.43
  6. Step 6: Final answer
    x = 13,964.46

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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.