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Finding the Fourth Proportional to 6,736, 9,294.86 and 3,751.64

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Solution

The fourth proportional to 6,736, 9,294.86 and 3,751.64 is: 5,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 9,294.86 = 3,751.64 : x
  2. Step 2: Convert to fraction form
    6,736/9,294.86 = 3,751.64/x
  3. Step 3: Cross multiply
    6,736x = 9,294.86 × 3,751.64
  4. Step 4: Simplify right side
    6,736x = 34,870,968.57
  5. Step 5: Solve for x
    x = 34,870,968.57/6,736
  6. Step 6: Final answer
    x = 5,176.81

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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.