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Finding the Fourth Proportional to 6,797, 9,381 and 4,001.96

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Solution

The fourth proportional to 6,797, 9,381 and 4,001.96 is: 5,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797 : 9,381 = 4,001.96 : x
  2. Step 2: Convert to fraction form
    6,797/9,381 = 4,001.96/x
  3. Step 3: Cross multiply
    6,797x = 9,381 × 4,001.96
  4. Step 4: Simplify right side
    6,797x = 37,542,386.76
  5. Step 5: Solve for x
    x = 37,542,386.76/6,797
  6. Step 6: Final answer
    x = 5,523.38

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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.