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Finding the Fourth Proportional to 6,198.70, 9,298.14 and 1,816.03

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Solution

The fourth proportional to 6,198.70, 9,298.14 and 1,816.03 is: 2,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.70 : 9,298.14 = 1,816.03 : x
  2. Step 2: Convert to fraction form
    6,198.70/9,298.14 = 1,816.03/x
  3. Step 3: Cross multiply
    6,198.70x = 9,298.14 × 1,816.03
  4. Step 4: Simplify right side
    6,198.70x = 16,885,701.18
  5. Step 5: Solve for x
    x = 16,885,701.18/6,198.70
  6. Step 6: Final answer
    x = 2,724.07

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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.