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Finding the Fourth Proportional to 8,171.80, 12,257.70 and 7,232.20

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Solution

The fourth proportional to 8,171.80, 12,257.70 and 7,232.20 is: 10,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.80 : 12,257.70 = 7,232.20 : x
  2. Step 2: Convert to fraction form
    8,171.80/12,257.70 = 7,232.20/x
  3. Step 3: Cross multiply
    8,171.80x = 12,257.70 × 7,232.20
  4. Step 4: Simplify right side
    8,171.80x = 88,650,137.94
  5. Step 5: Solve for x
    x = 88,650,137.94/8,171.80
  6. Step 6: Final answer
    x = 10,848.30

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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.