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Finding the Fourth Proportional to 6,649.96, 9,177.14 and 3,665.88

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Solution

The fourth proportional to 6,649.96, 9,177.14 and 3,665.88 is: 5,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.96 : 9,177.14 = 3,665.88 : x
  2. Step 2: Convert to fraction form
    6,649.96/9,177.14 = 3,665.88/x
  3. Step 3: Cross multiply
    6,649.96x = 9,177.14 × 3,665.88
  4. Step 4: Simplify right side
    6,649.96x = 33,642,293.98
  5. Step 5: Solve for x
    x = 33,642,293.98/6,649.96
  6. Step 6: Final answer
    x = 5,059.02

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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.