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Finding the Fourth Proportional to 9,331.54, 13,993.20 and 4,947.97

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Solution

The fourth proportional to 9,331.54, 13,993.20 and 4,947.97 is: 7,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.54 : 13,993.20 = 4,947.97 : x
  2. Step 2: Convert to fraction form
    9,331.54/13,993.20 = 4,947.97/x
  3. Step 3: Cross multiply
    9,331.54x = 13,993.20 × 4,947.97
  4. Step 4: Simplify right side
    9,331.54x = 69,237,933.80
  5. Step 5: Solve for x
    x = 69,237,933.80/9,331.54
  6. Step 6: Final answer
    x = 7,419.78

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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.