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Finding the Fourth Proportional to 6,778.14, 9,353.77 and 3,794

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Solution

The fourth proportional to 6,778.14, 9,353.77 and 3,794 is: 5,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.14 : 9,353.77 = 3,794 : x
  2. Step 2: Convert to fraction form
    6,778.14/9,353.77 = 3,794/x
  3. Step 3: Cross multiply
    6,778.14x = 9,353.77 × 3,794
  4. Step 4: Simplify right side
    6,778.14x = 35,488,203.38
  5. Step 5: Solve for x
    x = 35,488,203.38/6,778.14
  6. Step 6: Final answer
    x = 5,235.68

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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.