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Finding the Fourth Proportional to 6,066.50, 9,082.86 and 3,098.56

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Solution

The fourth proportional to 6,066.50, 9,082.86 and 3,098.56 is: 4,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.50 : 9,082.86 = 3,098.56 : x
  2. Step 2: Convert to fraction form
    6,066.50/9,082.86 = 3,098.56/x
  3. Step 3: Cross multiply
    6,066.50x = 9,082.86 × 3,098.56
  4. Step 4: Simplify right side
    6,066.50x = 28,143,786.68
  5. Step 5: Solve for x
    x = 28,143,786.68/6,066.50
  6. Step 6: Final answer
    x = 4,639.21

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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.