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Finding the Fourth Proportional to 6,816.08, 10,225.20 and 2,198

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Solution

The fourth proportional to 6,816.08, 10,225.20 and 2,198 is: 3,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.08 : 10,225.20 = 2,198 : x
  2. Step 2: Convert to fraction form
    6,816.08/10,225.20 = 2,198/x
  3. Step 3: Cross multiply
    6,816.08x = 10,225.20 × 2,198
  4. Step 4: Simplify right side
    6,816.08x = 22,474,989.60
  5. Step 5: Solve for x
    x = 22,474,989.60/6,816.08
  6. Step 6: Final answer
    x = 3,297.35

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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.