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Finding the Fourth Proportional to 6,138.62, 9,202.62 and 2,850.02

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Solution

The fourth proportional to 6,138.62, 9,202.62 and 2,850.02 is: 4,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.62 : 9,202.62 = 2,850.02 : x
  2. Step 2: Convert to fraction form
    6,138.62/9,202.62 = 2,850.02/x
  3. Step 3: Cross multiply
    6,138.62x = 9,202.62 × 2,850.02
  4. Step 4: Simplify right side
    6,138.62x = 26,227,651.05
  5. Step 5: Solve for x
    x = 26,227,651.05/6,138.62
  6. Step 6: Final answer
    x = 4,272.56

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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.