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Finding the Fourth Proportional to 8,571.80, 12,857.70 and 8,207.30

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Solution

The fourth proportional to 8,571.80, 12,857.70 and 8,207.30 is: 12,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.80 : 12,857.70 = 8,207.30 : x
  2. Step 2: Convert to fraction form
    8,571.80/12,857.70 = 8,207.30/x
  3. Step 3: Cross multiply
    8,571.80x = 12,857.70 × 8,207.30
  4. Step 4: Simplify right side
    8,571.80x = 105,527,001.21
  5. Step 5: Solve for x
    x = 105,527,001.21/8,571.80
  6. Step 6: Final answer
    x = 12,310.95

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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.