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Finding the Fourth Proportional to 6,651.60, 9,974.35 and 2,267.27

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Solution

The fourth proportional to 6,651.60, 9,974.35 and 2,267.27 is: 3,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.60 : 9,974.35 = 2,267.27 : x
  2. Step 2: Convert to fraction form
    6,651.60/9,974.35 = 2,267.27/x
  3. Step 3: Cross multiply
    6,651.60x = 9,974.35 × 2,267.27
  4. Step 4: Simplify right side
    6,651.60x = 22,614,544.52
  5. Step 5: Solve for x
    x = 22,614,544.52/6,651.60
  6. Step 6: Final answer
    x = 3,399.87

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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.