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Finding the Fourth Proportional to 8,049.70, 12,070.36 and 3,120.78

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Solution

The fourth proportional to 8,049.70, 12,070.36 and 3,120.78 is: 4,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.70 : 12,070.36 = 3,120.78 : x
  2. Step 2: Convert to fraction form
    8,049.70/12,070.36 = 3,120.78/x
  3. Step 3: Cross multiply
    8,049.70x = 12,070.36 × 3,120.78
  4. Step 4: Simplify right side
    8,049.70x = 37,668,938.08
  5. Step 5: Solve for x
    x = 37,668,938.08/8,049.70
  6. Step 6: Final answer
    x = 4,679.55

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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.