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Finding the Fourth Proportional to 12,482.14, 18,713.05 and 8,523.41

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Solution

The fourth proportional to 12,482.14, 18,713.05 and 8,523.41 is: 12,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.14 : 18,713.05 = 8,523.41 : x
  2. Step 2: Convert to fraction form
    12,482.14/18,713.05 = 8,523.41/x
  3. Step 3: Cross multiply
    12,482.14x = 18,713.05 × 8,523.41
  4. Step 4: Simplify right side
    12,482.14x = 159,498,997.50
  5. Step 5: Solve for x
    x = 159,498,997.50/12,482.14
  6. Step 6: Final answer
    x = 12,778.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.