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Finding the Fourth Proportional to 9,912.36, 13,674.09 and 5,932.44

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Solution

The fourth proportional to 9,912.36, 13,674.09 and 5,932.44 is: 8,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.36 : 13,674.09 = 5,932.44 : x
  2. Step 2: Convert to fraction form
    9,912.36/13,674.09 = 5,932.44/x
  3. Step 3: Cross multiply
    9,912.36x = 13,674.09 × 5,932.44
  4. Step 4: Simplify right side
    9,912.36x = 81,120,718.48
  5. Step 5: Solve for x
    x = 81,120,718.48/9,912.36
  6. Step 6: Final answer
    x = 8,183.79

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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.