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Finding the Fourth Proportional to 22,522.88, 33,785.12 and 7,731.72

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Solution

The fourth proportional to 22,522.88, 33,785.12 and 7,731.72 is: 11,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.88 : 33,785.12 = 7,731.72 : x
  2. Step 2: Convert to fraction form
    22,522.88/33,785.12 = 7,731.72/x
  3. Step 3: Cross multiply
    22,522.88x = 33,785.12 × 7,731.72
  4. Step 4: Simplify right side
    22,522.88x = 261,217,088.01
  5. Step 5: Solve for x
    x = 261,217,088.01/22,522.88
  6. Step 6: Final answer
    x = 11,597.85

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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.