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Finding the Fourth Proportional to 6,546.54, 9,821.34 and 2,163.99

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Solution

The fourth proportional to 6,546.54, 9,821.34 and 2,163.99 is: 3,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.54 : 9,821.34 = 2,163.99 : x
  2. Step 2: Convert to fraction form
    6,546.54/9,821.34 = 2,163.99/x
  3. Step 3: Cross multiply
    6,546.54x = 9,821.34 × 2,163.99
  4. Step 4: Simplify right side
    6,546.54x = 21,253,299.96
  5. Step 5: Solve for x
    x = 21,253,299.96/6,546.54
  6. Step 6: Final answer
    x = 3,246.50

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Why These Related Problems?

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