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Finding the Fourth Proportional to 12,794.92, 19,167.76 and 7,850.12

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Solution

The fourth proportional to 12,794.92, 19,167.76 and 7,850.12 is: 11,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.92 : 19,167.76 = 7,850.12 : x
  2. Step 2: Convert to fraction form
    12,794.92/19,167.76 = 7,850.12/x
  3. Step 3: Cross multiply
    12,794.92x = 19,167.76 × 7,850.12
  4. Step 4: Simplify right side
    12,794.92x = 150,469,216.13
  5. Step 5: Solve for x
    x = 150,469,216.13/12,794.92
  6. Step 6: Final answer
    x = 11,760.07

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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.