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Finding the Fourth Proportional to 6,546.30, 9,819.90 and 2,166.84

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Solution

The fourth proportional to 6,546.30, 9,819.90 and 2,166.84 is: 3,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.30 : 9,819.90 = 2,166.84 : x
  2. Step 2: Convert to fraction form
    6,546.30/9,819.90 = 2,166.84/x
  3. Step 3: Cross multiply
    6,546.30x = 9,819.90 × 2,166.84
  4. Step 4: Simplify right side
    6,546.30x = 21,278,152.12
  5. Step 5: Solve for x
    x = 21,278,152.12/6,546.30
  6. Step 6: Final answer
    x = 3,250.41

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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.