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Finding the Fourth Proportional to 6,247.80, 9,367.65 and 2,965.68

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Solution

The fourth proportional to 6,247.80, 9,367.65 and 2,965.68 is: 4,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.80 : 9,367.65 = 2,965.68 : x
  2. Step 2: Convert to fraction form
    6,247.80/9,367.65 = 2,965.68/x
  3. Step 3: Cross multiply
    6,247.80x = 9,367.65 × 2,965.68
  4. Step 4: Simplify right side
    6,247.80x = 27,781,452.25
  5. Step 5: Solve for x
    x = 27,781,452.25/6,247.80
  6. Step 6: Final answer
    x = 4,446.60

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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.