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Finding the Fourth Proportional to 8,107.80, 12,161.70 and 4,819.20

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Solution

The fourth proportional to 8,107.80, 12,161.70 and 4,819.20 is: 7,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.80 : 12,161.70 = 4,819.20 : x
  2. Step 2: Convert to fraction form
    8,107.80/12,161.70 = 4,819.20/x
  3. Step 3: Cross multiply
    8,107.80x = 12,161.70 × 4,819.20
  4. Step 4: Simplify right side
    8,107.80x = 58,609,664.64
  5. Step 5: Solve for x
    x = 58,609,664.64/8,107.80
  6. Step 6: Final answer
    x = 7,228.80

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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.