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Finding the Fourth Proportional to 22,474.12, 33,711.90 and 7,682.44

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Solution

The fourth proportional to 22,474.12, 33,711.90 and 7,682.44 is: 11,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.12 : 33,711.90 = 7,682.44 : x
  2. Step 2: Convert to fraction form
    22,474.12/33,711.90 = 7,682.44/x
  3. Step 3: Cross multiply
    22,474.12x = 33,711.90 × 7,682.44
  4. Step 4: Simplify right side
    22,474.12x = 258,989,649.04
  5. Step 5: Solve for x
    x = 258,989,649.04/22,474.12
  6. Step 6: Final answer
    x = 11,523.91

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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.