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Finding the Fourth Proportional to 11,906.56, 17,862.24 and 3,586.24

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Solution

The fourth proportional to 11,906.56, 17,862.24 and 3,586.24 is: 5,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.56 : 17,862.24 = 3,586.24 : x
  2. Step 2: Convert to fraction form
    11,906.56/17,862.24 = 3,586.24/x
  3. Step 3: Cross multiply
    11,906.56x = 17,862.24 × 3,586.24
  4. Step 4: Simplify right side
    11,906.56x = 64,058,279.58
  5. Step 5: Solve for x
    x = 64,058,279.58/11,906.56
  6. Step 6: Final answer
    x = 5,380.08

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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.