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Finding the Fourth Proportional to 11,906.90, 17,861.16 and 6,061.94

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Solution

The fourth proportional to 11,906.90, 17,861.16 and 6,061.94 is: 9,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.90 : 17,861.16 = 6,061.94 : x
  2. Step 2: Convert to fraction form
    11,906.90/17,861.16 = 6,061.94/x
  3. Step 3: Cross multiply
    11,906.90x = 17,861.16 × 6,061.94
  4. Step 4: Simplify right side
    11,906.90x = 108,273,280.25
  5. Step 5: Solve for x
    x = 108,273,280.25/11,906.90
  6. Step 6: Final answer
    x = 9,093.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.