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Finding the Fourth Proportional to 8,107.59, 12,161.64 and 2,560.98

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Solution

The fourth proportional to 8,107.59, 12,161.64 and 2,560.98 is: 3,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.59 : 12,161.64 = 2,560.98 : x
  2. Step 2: Convert to fraction form
    8,107.59/12,161.64 = 2,560.98/x
  3. Step 3: Cross multiply
    8,107.59x = 12,161.64 × 2,560.98
  4. Step 4: Simplify right side
    8,107.59x = 31,145,772.02
  5. Step 5: Solve for x
    x = 31,145,772.02/8,107.59
  6. Step 6: Final answer
    x = 3,841.56

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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.