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Finding the Fourth Proportional to 6,796.32, 9,379.08 and 4,002

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Solution

The fourth proportional to 6,796.32, 9,379.08 and 4,002 is: 5,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.32 : 9,379.08 = 4,002 : x
  2. Step 2: Convert to fraction form
    6,796.32/9,379.08 = 4,002/x
  3. Step 3: Cross multiply
    6,796.32x = 9,379.08 × 4,002
  4. Step 4: Simplify right side
    6,796.32x = 37,535,078.16
  5. Step 5: Solve for x
    x = 37,535,078.16/6,796.32
  6. Step 6: Final answer
    x = 5,522.85

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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.