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Finding the Fourth Proportional to 6,794.37, 10,180.46 and 6,534.92

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Solution

The fourth proportional to 6,794.37, 10,180.46 and 6,534.92 is: 9,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.37 : 10,180.46 = 6,534.92 : x
  2. Step 2: Convert to fraction form
    6,794.37/10,180.46 = 6,534.92/x
  3. Step 3: Cross multiply
    6,794.37x = 10,180.46 × 6,534.92
  4. Step 4: Simplify right side
    6,794.37x = 66,528,491.66
  5. Step 5: Solve for x
    x = 66,528,491.66/6,794.37
  6. Step 6: Final answer
    x = 9,791.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.