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Finding the Fourth Proportional to 5,993.81, 8,990.81 and 2,098.20

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Solution

The fourth proportional to 5,993.81, 8,990.81 and 2,098.20 is: 3,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.81 : 8,990.81 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    5,993.81/8,990.81 = 2,098.20/x
  3. Step 3: Cross multiply
    5,993.81x = 8,990.81 × 2,098.20
  4. Step 4: Simplify right side
    5,993.81x = 18,864,517.54
  5. Step 5: Solve for x
    x = 18,864,517.54/5,993.81
  6. Step 6: Final answer
    x = 3,147.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.