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Finding the Fourth Proportional to 6,545, 9,815.52 and 2,163.62

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Solution

The fourth proportional to 6,545, 9,815.52 and 2,163.62 is: 3,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 9,815.52 = 2,163.62 : x
  2. Step 2: Convert to fraction form
    6,545/9,815.52 = 2,163.62/x
  3. Step 3: Cross multiply
    6,545x = 9,815.52 × 2,163.62
  4. Step 4: Simplify right side
    6,545x = 21,237,055.38
  5. Step 5: Solve for x
    x = 21,237,055.38/6,545
  6. Step 6: Final answer
    x = 3,244.78

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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.