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Finding the Fourth Proportional to 22,471, 33,706.50 and 6,055

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Solution

The fourth proportional to 22,471, 33,706.50 and 6,055 is: 9,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471 : 33,706.50 = 6,055 : x
  2. Step 2: Convert to fraction form
    22,471/33,706.50 = 6,055/x
  3. Step 3: Cross multiply
    22,471x = 33,706.50 × 6,055
  4. Step 4: Simplify right side
    22,471x = 204,092,857.50
  5. Step 5: Solve for x
    x = 204,092,857.50/22,471
  6. Step 6: Final answer
    x = 9,082.50

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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.