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Finding the Fourth Proportional to 6,556, 9,836.24 and 2,659.68

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Solution

The fourth proportional to 6,556, 9,836.24 and 2,659.68 is: 3,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556 : 9,836.24 = 2,659.68 : x
  2. Step 2: Convert to fraction form
    6,556/9,836.24 = 2,659.68/x
  3. Step 3: Cross multiply
    6,556x = 9,836.24 × 2,659.68
  4. Step 4: Simplify right side
    6,556x = 26,161,250.80
  5. Step 5: Solve for x
    x = 26,161,250.80/6,556
  6. Step 6: Final answer
    x = 3,990.43

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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.