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Finding the Fourth Proportional to 6,763.50, 10,138.41 and 3,248.37

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Solution

The fourth proportional to 6,763.50, 10,138.41 and 3,248.37 is: 4,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.50 : 10,138.41 = 3,248.37 : x
  2. Step 2: Convert to fraction form
    6,763.50/10,138.41 = 3,248.37/x
  3. Step 3: Cross multiply
    6,763.50x = 10,138.41 × 3,248.37
  4. Step 4: Simplify right side
    6,763.50x = 32,933,306.89
  5. Step 5: Solve for x
    x = 32,933,306.89/6,763.50
  6. Step 6: Final answer
    x = 4,869.27

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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.