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Finding the Fourth Proportional to 6,139.38, 9,202.50 and 2,436.48

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Solution

The fourth proportional to 6,139.38, 9,202.50 and 2,436.48 is: 3,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.38 : 9,202.50 = 2,436.48 : x
  2. Step 2: Convert to fraction form
    6,139.38/9,202.50 = 2,436.48/x
  3. Step 3: Cross multiply
    6,139.38x = 9,202.50 × 2,436.48
  4. Step 4: Simplify right side
    6,139.38x = 22,421,707.20
  5. Step 5: Solve for x
    x = 22,421,707.20/6,139.38
  6. Step 6: Final answer
    x = 3,652.11

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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.