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Finding the Fourth Proportional to 9,924.20, 13,694.96 and 5,942.96

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Solution

The fourth proportional to 9,924.20, 13,694.96 and 5,942.96 is: 8,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.20 : 13,694.96 = 5,942.96 : x
  2. Step 2: Convert to fraction form
    9,924.20/13,694.96 = 5,942.96/x
  3. Step 3: Cross multiply
    9,924.20x = 13,694.96 × 5,942.96
  4. Step 4: Simplify right side
    9,924.20x = 81,388,599.48
  5. Step 5: Solve for x
    x = 81,388,599.48/9,924.20
  6. Step 6: Final answer
    x = 8,201.02

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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.