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Finding the Fourth Proportional to 22,081.50, 33,122.25 and 9,769.50

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Solution

The fourth proportional to 22,081.50, 33,122.25 and 9,769.50 is: 14,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,081.50 : 33,122.25 = 9,769.50 : x
  2. Step 2: Convert to fraction form
    22,081.50/33,122.25 = 9,769.50/x
  3. Step 3: Cross multiply
    22,081.50x = 33,122.25 × 9,769.50
  4. Step 4: Simplify right side
    22,081.50x = 323,587,821.38
  5. Step 5: Solve for x
    x = 323,587,821.38/22,081.50
  6. Step 6: Final answer
    x = 14,654.25

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Double scale
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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.