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Finding the Fourth Proportional to 6,649.66, 9,974.76 and 2,267.16

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Solution

The fourth proportional to 6,649.66, 9,974.76 and 2,267.16 is: 3,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.66 : 9,974.76 = 2,267.16 : x
  2. Step 2: Convert to fraction form
    6,649.66/9,974.76 = 2,267.16/x
  3. Step 3: Cross multiply
    6,649.66x = 9,974.76 × 2,267.16
  4. Step 4: Simplify right side
    6,649.66x = 22,614,376.88
  5. Step 5: Solve for x
    x = 22,614,376.88/6,649.66
  6. Step 6: Final answer
    x = 3,400.83

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1.5x scale

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.