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Finding the Fourth Proportional to 6,881.29, 10,322.17 and 2,201.97

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Solution

The fourth proportional to 6,881.29, 10,322.17 and 2,201.97 is: 3,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.29 : 10,322.17 = 2,201.97 : x
  2. Step 2: Convert to fraction form
    6,881.29/10,322.17 = 2,201.97/x
  3. Step 3: Cross multiply
    6,881.29x = 10,322.17 × 2,201.97
  4. Step 4: Simplify right side
    6,881.29x = 22,729,108.67
  5. Step 5: Solve for x
    x = 22,729,108.67/6,881.29
  6. Step 6: Final answer
    x = 3,303.03

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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.