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Finding the Fourth Proportional to 22,472.78, 33,711.06 and 7,682.72

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Solution

The fourth proportional to 22,472.78, 33,711.06 and 7,682.72 is: 11,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.78 : 33,711.06 = 7,682.72 : x
  2. Step 2: Convert to fraction form
    22,472.78/33,711.06 = 7,682.72/x
  3. Step 3: Cross multiply
    22,472.78x = 33,711.06 × 7,682.72
  4. Step 4: Simplify right side
    22,472.78x = 258,992,634.88
  5. Step 5: Solve for x
    x = 258,992,634.88/22,472.78
  6. Step 6: Final answer
    x = 11,524.73

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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.