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Finding the Fourth Proportional to 6,758, 9,325.68 and 3,774

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Solution

The fourth proportional to 6,758, 9,325.68 and 3,774 is: 5,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758 : 9,325.68 = 3,774 : x
  2. Step 2: Convert to fraction form
    6,758/9,325.68 = 3,774/x
  3. Step 3: Cross multiply
    6,758x = 9,325.68 × 3,774
  4. Step 4: Simplify right side
    6,758x = 35,195,116.32
  5. Step 5: Solve for x
    x = 35,195,116.32/6,758
  6. Step 6: Final answer
    x = 5,207.92

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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.