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Finding the Fourth Proportional to 6,661.43, 9,997.02 and 3,201.11

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Solution

The fourth proportional to 6,661.43, 9,997.02 and 3,201.11 is: 4,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.43 : 9,997.02 = 3,201.11 : x
  2. Step 2: Convert to fraction form
    6,661.43/9,997.02 = 3,201.11/x
  3. Step 3: Cross multiply
    6,661.43x = 9,997.02 × 3,201.11
  4. Step 4: Simplify right side
    6,661.43x = 32,001,560.69
  5. Step 5: Solve for x
    x = 32,001,560.69/6,661.43
  6. Step 6: Final answer
    x = 4,804.01

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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.