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Finding the Fourth Proportional to 11,559.92, 15,954.20 and 8,584.25

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Solution

The fourth proportional to 11,559.92, 15,954.20 and 8,584.25 is: 11,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.92 : 15,954.20 = 8,584.25 : x
  2. Step 2: Convert to fraction form
    11,559.92/15,954.20 = 8,584.25/x
  3. Step 3: Cross multiply
    11,559.92x = 15,954.20 × 8,584.25
  4. Step 4: Simplify right side
    11,559.92x = 136,954,750.85
  5. Step 5: Solve for x
    x = 136,954,750.85/11,559.92
  6. Step 6: Final answer
    x = 11,847.38

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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.