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Finding the Fourth Proportional to 8,107.88, 12,184.62 and 4,821.56

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Solution

The fourth proportional to 8,107.88, 12,184.62 and 4,821.56 is: 7,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.88 : 12,184.62 = 4,821.56 : x
  2. Step 2: Convert to fraction form
    8,107.88/12,184.62 = 4,821.56/x
  3. Step 3: Cross multiply
    8,107.88x = 12,184.62 × 4,821.56
  4. Step 4: Simplify right side
    8,107.88x = 58,748,876.41
  5. Step 5: Solve for x
    x = 58,748,876.41/8,107.88
  6. Step 6: Final answer
    x = 7,245.90

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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.