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Finding the Fourth Proportional to 7,949.97, 11,924.96 and 2,685.00

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Solution

The fourth proportional to 7,949.97, 11,924.96 and 2,685.00 is: 4,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.97 : 11,924.96 = 2,685.00 : x
  2. Step 2: Convert to fraction form
    7,949.97/11,924.96 = 2,685.00/x
  3. Step 3: Cross multiply
    7,949.97x = 11,924.96 × 2,685.00
  4. Step 4: Simplify right side
    7,949.97x = 32,018,493.14
  5. Step 5: Solve for x
    x = 32,018,493.14/7,949.97
  6. Step 6: Final answer
    x = 4,027.50

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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.