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Finding the Fourth Proportional to 6,794, 9,377.34 and 4,001.12

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Solution

The fourth proportional to 6,794, 9,377.34 and 4,001.12 is: 5,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 9,377.34 = 4,001.12 : x
  2. Step 2: Convert to fraction form
    6,794/9,377.34 = 4,001.12/x
  3. Step 3: Cross multiply
    6,794x = 9,377.34 × 4,001.12
  4. Step 4: Simplify right side
    6,794x = 37,519,862.62
  5. Step 5: Solve for x
    x = 37,519,862.62/6,794
  6. Step 6: Final answer
    x = 5,522.50

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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.