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Finding the Fourth Proportional to 13,487.80, 18,609.96 and 8,182.48

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Solution

The fourth proportional to 13,487.80, 18,609.96 and 8,182.48 is: 11,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.80 : 18,609.96 = 8,182.48 : x
  2. Step 2: Convert to fraction form
    13,487.80/18,609.96 = 8,182.48/x
  3. Step 3: Cross multiply
    13,487.80x = 18,609.96 × 8,182.48
  4. Step 4: Simplify right side
    13,487.80x = 152,275,625.50
  5. Step 5: Solve for x
    x = 152,275,625.50/13,487.80
  6. Step 6: Final answer
    x = 11,289.88

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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.