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Finding the Fourth Proportional to 11,589, 17,234.42 and 11,219.96

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Solution

The fourth proportional to 11,589, 17,234.42 and 11,219.96 is: 16,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589 : 17,234.42 = 11,219.96 : x
  2. Step 2: Convert to fraction form
    11,589/17,234.42 = 11,219.96/x
  3. Step 3: Cross multiply
    11,589x = 17,234.42 × 11,219.96
  4. Step 4: Simplify right side
    11,589x = 193,369,360.75
  5. Step 5: Solve for x
    x = 193,369,360.75/11,589
  6. Step 6: Final answer
    x = 16,685.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.