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Finding the Fourth Proportional to 8,259.44, 12,392.19 and 3,819.24

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Solution

The fourth proportional to 8,259.44, 12,392.19 and 3,819.24 is: 5,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.44 : 12,392.19 = 3,819.24 : x
  2. Step 2: Convert to fraction form
    8,259.44/12,392.19 = 3,819.24/x
  3. Step 3: Cross multiply
    8,259.44x = 12,392.19 × 3,819.24
  4. Step 4: Simplify right side
    8,259.44x = 47,328,747.74
  5. Step 5: Solve for x
    x = 47,328,747.74/8,259.44
  6. Step 6: Final answer
    x = 5,730.26

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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.