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Finding the Fourth Proportional to 12,234.75, 16,883.96 and 6,645.75

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Solution

The fourth proportional to 12,234.75, 16,883.96 and 6,645.75 is: 9,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.75 : 16,883.96 = 6,645.75 : x
  2. Step 2: Convert to fraction form
    12,234.75/16,883.96 = 6,645.75/x
  3. Step 3: Cross multiply
    12,234.75x = 16,883.96 × 6,645.75
  4. Step 4: Simplify right side
    12,234.75x = 112,206,543.94
  5. Step 5: Solve for x
    x = 112,206,543.94/12,234.75
  6. Step 6: Final answer
    x = 9,171.14

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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.