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Finding the Fourth Proportional to 11,706.22, 17,474.50 and 10,839.12

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Solution

The fourth proportional to 11,706.22, 17,474.50 and 10,839.12 is: 16,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.22 : 17,474.50 = 10,839.12 : x
  2. Step 2: Convert to fraction form
    11,706.22/17,474.50 = 10,839.12/x
  3. Step 3: Cross multiply
    11,706.22x = 17,474.50 × 10,839.12
  4. Step 4: Simplify right side
    11,706.22x = 189,408,202.44
  5. Step 5: Solve for x
    x = 189,408,202.44/11,706.22
  6. Step 6: Final answer
    x = 16,180.13

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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.