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Finding the Fourth Proportional to 6,353.40, 9,517.50 and 4,238.52

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Solution

The fourth proportional to 6,353.40, 9,517.50 and 4,238.52 is: 6,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.40 : 9,517.50 = 4,238.52 : x
  2. Step 2: Convert to fraction form
    6,353.40/9,517.50 = 4,238.52/x
  3. Step 3: Cross multiply
    6,353.40x = 9,517.50 × 4,238.52
  4. Step 4: Simplify right side
    6,353.40x = 40,340,114.10
  5. Step 5: Solve for x
    x = 40,340,114.10/6,353.40
  6. Step 6: Final answer
    x = 6,349.37

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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.