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Finding the Fourth Proportional to 6,548.65, 9,816.82 and 2,163.71

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Solution

The fourth proportional to 6,548.65, 9,816.82 and 2,163.71 is: 3,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.65 : 9,816.82 = 2,163.71 : x
  2. Step 2: Convert to fraction form
    6,548.65/9,816.82 = 2,163.71/x
  3. Step 3: Cross multiply
    6,548.65x = 9,816.82 × 2,163.71
  4. Step 4: Simplify right side
    6,548.65x = 21,240,770.73
  5. Step 5: Solve for x
    x = 21,240,770.73/6,548.65
  6. Step 6: Final answer
    x = 3,243.54

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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.