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Finding the Fourth Proportional to 22,098.86, 33,148.85 and 7,307.78

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Solution

The fourth proportional to 22,098.86, 33,148.85 and 7,307.78 is: 10,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.86 : 33,148.85 = 7,307.78 : x
  2. Step 2: Convert to fraction form
    22,098.86/33,148.85 = 7,307.78/x
  3. Step 3: Cross multiply
    22,098.86x = 33,148.85 × 7,307.78
  4. Step 4: Simplify right side
    22,098.86x = 242,244,503.05
  5. Step 5: Solve for x
    x = 242,244,503.05/22,098.86
  6. Step 6: Final answer
    x = 10,961.86

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Similar ratio
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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.