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Finding the Fourth Proportional to 11,992.92, 17,983.08 and 6,447.48

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Solution

The fourth proportional to 11,992.92, 17,983.08 and 6,447.48 is: 9,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.92 : 17,983.08 = 6,447.48 : x
  2. Step 2: Convert to fraction form
    11,992.92/17,983.08 = 6,447.48/x
  3. Step 3: Cross multiply
    11,992.92x = 17,983.08 × 6,447.48
  4. Step 4: Simplify right side
    11,992.92x = 115,945,548.64
  5. Step 5: Solve for x
    x = 115,945,548.64/11,992.92
  6. Step 6: Final answer
    x = 9,667.83

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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.