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Finding the Fourth Proportional to 11,627.76, 16,019.19 and 8,084.82

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Solution

The fourth proportional to 11,627.76, 16,019.19 and 8,084.82 is: 11,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.76 : 16,019.19 = 8,084.82 : x
  2. Step 2: Convert to fraction form
    11,627.76/16,019.19 = 8,084.82/x
  3. Step 3: Cross multiply
    11,627.76x = 16,019.19 × 8,084.82
  4. Step 4: Simplify right side
    11,627.76x = 129,512,267.70
  5. Step 5: Solve for x
    x = 129,512,267.70/11,627.76
  6. Step 6: Final answer
    x = 11,138.20

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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.