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Finding the Fourth Proportional to 7,198.54, 10,797.80 and 4,118.38

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Solution

The fourth proportional to 7,198.54, 10,797.80 and 4,118.38 is: 6,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.54 : 10,797.80 = 4,118.38 : x
  2. Step 2: Convert to fraction form
    7,198.54/10,797.80 = 4,118.38/x
  3. Step 3: Cross multiply
    7,198.54x = 10,797.80 × 4,118.38
  4. Step 4: Simplify right side
    7,198.54x = 44,469,443.56
  5. Step 5: Solve for x
    x = 44,469,443.56/7,198.54
  6. Step 6: Final answer
    x = 6,177.56

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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.