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Finding the Fourth Proportional to 8,311.80, 12,450.90 and 5,182.20

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Solution

The fourth proportional to 8,311.80, 12,450.90 and 5,182.20 is: 7,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.80 : 12,450.90 = 5,182.20 : x
  2. Step 2: Convert to fraction form
    8,311.80/12,450.90 = 5,182.20/x
  3. Step 3: Cross multiply
    8,311.80x = 12,450.90 × 5,182.20
  4. Step 4: Simplify right side
    8,311.80x = 64,523,053.98
  5. Step 5: Solve for x
    x = 64,523,053.98/8,311.80
  6. Step 6: Final answer
    x = 7,762.83

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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.