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Finding the Fourth Proportional to 6,649.77, 9,177.30 and 3,997.11

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Solution

The fourth proportional to 6,649.77, 9,177.30 and 3,997.11 is: 5,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.77 : 9,177.30 = 3,997.11 : x
  2. Step 2: Convert to fraction form
    6,649.77/9,177.30 = 3,997.11/x
  3. Step 3: Cross multiply
    6,649.77x = 9,177.30 × 3,997.11
  4. Step 4: Simplify right side
    6,649.77x = 36,682,677.60
  5. Step 5: Solve for x
    x = 36,682,677.60/6,649.77
  6. Step 6: Final answer
    x = 5,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.