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Finding the Fourth Proportional to 21,993.78, 32,992.68 and 6,199.08

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Solution

The fourth proportional to 21,993.78, 32,992.68 and 6,199.08 is: 9,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.78 : 32,992.68 = 6,199.08 : x
  2. Step 2: Convert to fraction form
    21,993.78/32,992.68 = 6,199.08/x
  3. Step 3: Cross multiply
    21,993.78x = 32,992.68 × 6,199.08
  4. Step 4: Simplify right side
    21,993.78x = 204,524,262.73
  5. Step 5: Solve for x
    x = 204,524,262.73/21,993.78
  6. Step 6: Final answer
    x = 9,299.19

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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.