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Finding the Fourth Proportional to 6,601.70, 9,902.55 and 1,984.10

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Solution

The fourth proportional to 6,601.70, 9,902.55 and 1,984.10 is: 2,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.70 : 9,902.55 = 1,984.10 : x
  2. Step 2: Convert to fraction form
    6,601.70/9,902.55 = 1,984.10/x
  3. Step 3: Cross multiply
    6,601.70x = 9,902.55 × 1,984.10
  4. Step 4: Simplify right side
    6,601.70x = 19,647,649.46
  5. Step 5: Solve for x
    x = 19,647,649.46/6,601.70
  6. Step 6: Final answer
    x = 2,976.15

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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.