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Finding the Fourth Proportional to 6,199.30, 9,298.94 and 2,250.55

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Solution

The fourth proportional to 6,199.30, 9,298.94 and 2,250.55 is: 3,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.30 : 9,298.94 = 2,250.55 : x
  2. Step 2: Convert to fraction form
    6,199.30/9,298.94 = 2,250.55/x
  3. Step 3: Cross multiply
    6,199.30x = 9,298.94 × 2,250.55
  4. Step 4: Simplify right side
    6,199.30x = 20,927,755.94
  5. Step 5: Solve for x
    x = 20,927,755.94/6,199.30
  6. Step 6: Final answer
    x = 3,375.83

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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.