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Finding the Fourth Proportional to 8,049.76, 12,072.30 and 3,118.30

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Solution

The fourth proportional to 8,049.76, 12,072.30 and 3,118.30 is: 4,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.76 : 12,072.30 = 3,118.30 : x
  2. Step 2: Convert to fraction form
    8,049.76/12,072.30 = 3,118.30/x
  3. Step 3: Cross multiply
    8,049.76x = 12,072.30 × 3,118.30
  4. Step 4: Simplify right side
    8,049.76x = 37,645,053.09
  5. Step 5: Solve for x
    x = 37,645,053.09/8,049.76
  6. Step 6: Final answer
    x = 4,676.54

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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.