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Finding the Fourth Proportional to 22,201.75, 33,302.63 and 5,785.75

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Solution

The fourth proportional to 22,201.75, 33,302.63 and 5,785.75 is: 8,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.75 : 33,302.63 = 5,785.75 : x
  2. Step 2: Convert to fraction form
    22,201.75/33,302.63 = 5,785.75/x
  3. Step 3: Cross multiply
    22,201.75x = 33,302.63 × 5,785.75
  4. Step 4: Simplify right side
    22,201.75x = 192,680,691.52
  5. Step 5: Solve for x
    x = 192,680,691.52/22,201.75
  6. Step 6: Final answer
    x = 8,678.63

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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.