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Finding the Fourth Proportional to 9,974.16, 13,759.20 and 5,993.80

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Solution

The fourth proportional to 9,974.16, 13,759.20 and 5,993.80 is: 8,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.16 : 13,759.20 = 5,993.80 : x
  2. Step 2: Convert to fraction form
    9,974.16/13,759.20 = 5,993.80/x
  3. Step 3: Cross multiply
    9,974.16x = 13,759.20 × 5,993.80
  4. Step 4: Simplify right side
    9,974.16x = 82,469,892.96
  5. Step 5: Solve for x
    x = 82,469,892.96/9,974.16
  6. Step 6: Final answer
    x = 8,268.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.