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Finding the Fourth Proportional to 8,045.20, 12,067.80 and 2,780.20

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Solution

The fourth proportional to 8,045.20, 12,067.80 and 2,780.20 is: 4,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.20 : 12,067.80 = 2,780.20 : x
  2. Step 2: Convert to fraction form
    8,045.20/12,067.80 = 2,780.20/x
  3. Step 3: Cross multiply
    8,045.20x = 12,067.80 × 2,780.20
  4. Step 4: Simplify right side
    8,045.20x = 33,550,897.56
  5. Step 5: Solve for x
    x = 33,550,897.56/8,045.20
  6. Step 6: Final answer
    x = 4,170.30

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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.