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Finding the Fourth Proportional to 13,616.50, 18,789.87 and 7,566.70

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Solution

The fourth proportional to 13,616.50, 18,789.87 and 7,566.70 is: 10,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.50 : 18,789.87 = 7,566.70 : x
  2. Step 2: Convert to fraction form
    13,616.50/18,789.87 = 7,566.70/x
  3. Step 3: Cross multiply
    13,616.50x = 18,789.87 × 7,566.70
  4. Step 4: Simplify right side
    13,616.50x = 142,177,309.33
  5. Step 5: Solve for x
    x = 142,177,309.33/13,616.50
  6. Step 6: Final answer
    x = 10,441.55

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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.