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Finding the Fourth Proportional to 6,728.04, 9,284.67 and 3,744

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Solution

The fourth proportional to 6,728.04, 9,284.67 and 3,744 is: 5,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.04 : 9,284.67 = 3,744 : x
  2. Step 2: Convert to fraction form
    6,728.04/9,284.67 = 3,744/x
  3. Step 3: Cross multiply
    6,728.04x = 9,284.67 × 3,744
  4. Step 4: Simplify right side
    6,728.04x = 34,761,804.48
  5. Step 5: Solve for x
    x = 34,761,804.48/6,728.04
  6. Step 6: Final answer
    x = 5,166.71

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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.