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Finding the Fourth Proportional to 7,997.78, 11,992.64 and 4,667.16

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Solution

The fourth proportional to 7,997.78, 11,992.64 and 4,667.16 is: 6,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.78 : 11,992.64 = 4,667.16 : x
  2. Step 2: Convert to fraction form
    7,997.78/11,992.64 = 4,667.16/x
  3. Step 3: Cross multiply
    7,997.78x = 11,992.64 × 4,667.16
  4. Step 4: Simplify right side
    7,997.78x = 55,971,546.37
  5. Step 5: Solve for x
    x = 55,971,546.37/7,997.78
  6. Step 6: Final answer
    x = 6,998.39

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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.