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Finding the Fourth Proportional to 8,057.09, 12,074.70 and 8,049.80

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Solution

The fourth proportional to 8,057.09, 12,074.70 and 8,049.80 is: 12,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.09 : 12,074.70 = 8,049.80 : x
  2. Step 2: Convert to fraction form
    8,057.09/12,074.70 = 8,049.80/x
  3. Step 3: Cross multiply
    8,057.09x = 12,074.70 × 8,049.80
  4. Step 4: Simplify right side
    8,057.09x = 97,198,920.06
  5. Step 5: Solve for x
    x = 97,198,920.06/8,057.09
  6. Step 6: Final answer
    x = 12,063.77

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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.