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Finding the Fourth Proportional to 13,481.76, 18,616.26 and 8,454.42

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Solution

The fourth proportional to 13,481.76, 18,616.26 and 8,454.42 is: 11,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.76 : 18,616.26 = 8,454.42 : x
  2. Step 2: Convert to fraction form
    13,481.76/18,616.26 = 8,454.42/x
  3. Step 3: Cross multiply
    13,481.76x = 18,616.26 × 8,454.42
  4. Step 4: Simplify right side
    13,481.76x = 157,389,680.87
  5. Step 5: Solve for x
    x = 157,389,680.87/13,481.76
  6. Step 6: Final answer
    x = 11,674.27

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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.