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Finding the Fourth Proportional to 6,650.87, 9,974.00 and 2,267.28

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Solution

The fourth proportional to 6,650.87, 9,974.00 and 2,267.28 is: 3,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.87 : 9,974.00 = 2,267.28 : x
  2. Step 2: Convert to fraction form
    6,650.87/9,974.00 = 2,267.28/x
  3. Step 3: Cross multiply
    6,650.87x = 9,974.00 × 2,267.28
  4. Step 4: Simplify right side
    6,650.87x = 22,613,856.39
  5. Step 5: Solve for x
    x = 22,613,856.39/6,650.87
  6. Step 6: Final answer
    x = 3,400.14

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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.