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Finding the Fourth Proportional to 6,198.20, 9,298.62 and 1,815.32

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Solution

The fourth proportional to 6,198.20, 9,298.62 and 1,815.32 is: 2,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.20 : 9,298.62 = 1,815.32 : x
  2. Step 2: Convert to fraction form
    6,198.20/9,298.62 = 1,815.32/x
  3. Step 3: Cross multiply
    6,198.20x = 9,298.62 × 1,815.32
  4. Step 4: Simplify right side
    6,198.20x = 16,879,970.86
  5. Step 5: Solve for x
    x = 16,879,970.86/6,198.20
  6. Step 6: Final answer
    x = 2,723.37

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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.