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Finding the Fourth Proportional to 10,325, 15,490.20 and 3,399.50

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Solution

The fourth proportional to 10,325, 15,490.20 and 3,399.50 is: 5,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325 : 15,490.20 = 3,399.50 : x
  2. Step 2: Convert to fraction form
    10,325/15,490.20 = 3,399.50/x
  3. Step 3: Cross multiply
    10,325x = 15,490.20 × 3,399.50
  4. Step 4: Simplify right side
    10,325x = 52,658,934.90
  5. Step 5: Solve for x
    x = 52,658,934.90/10,325
  6. Step 6: Final answer
    x = 5,100.14

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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.