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Finding the Fourth Proportional to 6,794.78, 9,379.10 and 4,281.11

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Solution

The fourth proportional to 6,794.78, 9,379.10 and 4,281.11 is: 5,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.78 : 9,379.10 = 4,281.11 : x
  2. Step 2: Convert to fraction form
    6,794.78/9,379.10 = 4,281.11/x
  3. Step 3: Cross multiply
    6,794.78x = 9,379.10 × 4,281.11
  4. Step 4: Simplify right side
    6,794.78x = 40,152,922.61
  5. Step 5: Solve for x
    x = 40,152,922.61/6,794.78
  6. Step 6: Final answer
    x = 5,909.38

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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.