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Finding the Fourth Proportional to 9,198.89, 13,800.37 and 3,355.48

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Solution

The fourth proportional to 9,198.89, 13,800.37 and 3,355.48 is: 5,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.89 : 13,800.37 = 3,355.48 : x
  2. Step 2: Convert to fraction form
    9,198.89/13,800.37 = 3,355.48/x
  3. Step 3: Cross multiply
    9,198.89x = 13,800.37 × 3,355.48
  4. Step 4: Simplify right side
    9,198.89x = 46,306,865.53
  5. Step 5: Solve for x
    x = 46,306,865.53/9,198.89
  6. Step 6: Final answer
    x = 5,033.96

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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.