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Finding the Fourth Proportional to 6,759, 9,327.32 and 3,774.88

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Solution

The fourth proportional to 6,759, 9,327.32 and 3,774.88 is: 5,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759 : 9,327.32 = 3,774.88 : x
  2. Step 2: Convert to fraction form
    6,759/9,327.32 = 3,774.88/x
  3. Step 3: Cross multiply
    6,759x = 9,327.32 × 3,774.88
  4. Step 4: Simplify right side
    6,759x = 35,209,499.84
  5. Step 5: Solve for x
    x = 35,209,499.84/6,759
  6. Step 6: Final answer
    x = 5,209.28

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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.