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Finding the Fourth Proportional to 5,993.82, 8,992.35 and 2,098.53

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Solution

The fourth proportional to 5,993.82, 8,992.35 and 2,098.53 is: 3,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.82 : 8,992.35 = 2,098.53 : x
  2. Step 2: Convert to fraction form
    5,993.82/8,992.35 = 2,098.53/x
  3. Step 3: Cross multiply
    5,993.82x = 8,992.35 × 2,098.53
  4. Step 4: Simplify right side
    5,993.82x = 18,870,716.25
  5. Step 5: Solve for x
    x = 18,870,716.25/5,993.82
  6. Step 6: Final answer
    x = 3,148.36

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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.