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Finding the Fourth Proportional to 6,816, 9,406.54 and 3,791.55

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Solution

The fourth proportional to 6,816, 9,406.54 and 3,791.55 is: 5,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 9,406.54 = 3,791.55 : x
  2. Step 2: Convert to fraction form
    6,816/9,406.54 = 3,791.55/x
  3. Step 3: Cross multiply
    6,816x = 9,406.54 × 3,791.55
  4. Step 4: Simplify right side
    6,816x = 35,665,366.74
  5. Step 5: Solve for x
    x = 35,665,366.74/6,816
  6. Step 6: Final answer
    x = 5,232.59

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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.