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Finding the Fourth Proportional to 11,589, 16,006.02 and 7,856.52

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Solution

The fourth proportional to 11,589, 16,006.02 and 7,856.52 is: 10,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589 : 16,006.02 = 7,856.52 : x
  2. Step 2: Convert to fraction form
    11,589/16,006.02 = 7,856.52/x
  3. Step 3: Cross multiply
    11,589x = 16,006.02 × 7,856.52
  4. Step 4: Simplify right side
    11,589x = 125,751,616.25
  5. Step 5: Solve for x
    x = 125,751,616.25/11,589
  6. Step 6: Final answer
    x = 10,850.95

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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.