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Finding the Fourth Proportional to 12,271.31, 16,932.38 and 7,234.85

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Solution

The fourth proportional to 12,271.31, 16,932.38 and 7,234.85 is: 9,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.31 : 16,932.38 = 7,234.85 : x
  2. Step 2: Convert to fraction form
    12,271.31/16,932.38 = 7,234.85/x
  3. Step 3: Cross multiply
    12,271.31x = 16,932.38 × 7,234.85
  4. Step 4: Simplify right side
    12,271.31x = 122,503,235.60
  5. Step 5: Solve for x
    x = 122,503,235.60/12,271.31
  6. Step 6: Final answer
    x = 9,982.90

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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.