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Finding the Fourth Proportional to 6,770.82, 10,082.24 and 6,521.70

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Solution

The fourth proportional to 6,770.82, 10,082.24 and 6,521.70 is: 9,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.82 : 10,082.24 = 6,521.70 : x
  2. Step 2: Convert to fraction form
    6,770.82/10,082.24 = 6,521.70/x
  3. Step 3: Cross multiply
    6,770.82x = 10,082.24 × 6,521.70
  4. Step 4: Simplify right side
    6,770.82x = 65,753,373.84
  5. Step 5: Solve for x
    x = 65,753,373.84/6,770.82
  6. Step 6: Final answer
    x = 9,711.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.