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Finding the Fourth Proportional to 12,265.92, 16,924.73 and 7,231.73

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Solution

The fourth proportional to 12,265.92, 16,924.73 and 7,231.73 is: 9,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.92 : 16,924.73 = 7,231.73 : x
  2. Step 2: Convert to fraction form
    12,265.92/16,924.73 = 7,231.73/x
  3. Step 3: Cross multiply
    12,265.92x = 16,924.73 × 7,231.73
  4. Step 4: Simplify right side
    12,265.92x = 122,394,956.90
  5. Step 5: Solve for x
    x = 122,394,956.90/12,265.92
  6. Step 6: Final answer
    x = 9,978.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.