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Finding the Fourth Proportional to 16,097.25, 24,143.83 and 6,229.78

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Solution

The fourth proportional to 16,097.25, 24,143.83 and 6,229.78 is: 9,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.25 : 24,143.83 = 6,229.78 : x
  2. Step 2: Convert to fraction form
    16,097.25/24,143.83 = 6,229.78/x
  3. Step 3: Cross multiply
    16,097.25x = 24,143.83 × 6,229.78
  4. Step 4: Simplify right side
    16,097.25x = 150,410,749.26
  5. Step 5: Solve for x
    x = 150,410,749.26/16,097.25
  6. Step 6: Final answer
    x = 9,343.88

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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.