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Finding the Fourth Proportional to 16,647.44, 22,974.14 and 9,573.85

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Solution

The fourth proportional to 16,647.44, 22,974.14 and 9,573.85 is: 13,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.44 : 22,974.14 = 9,573.85 : x
  2. Step 2: Convert to fraction form
    16,647.44/22,974.14 = 9,573.85/x
  3. Step 3: Cross multiply
    16,647.44x = 22,974.14 × 9,573.85
  4. Step 4: Simplify right side
    16,647.44x = 219,951,022.89
  5. Step 5: Solve for x
    x = 219,951,022.89/16,647.44
  6. Step 6: Final answer
    x = 13,212.31

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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.