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Finding the Fourth Proportional to 8,230.40, 12,249.60 and 8,204.80

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Solution

The fourth proportional to 8,230.40, 12,249.60 and 8,204.80 is: 12,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.40 : 12,249.60 = 8,204.80 : x
  2. Step 2: Convert to fraction form
    8,230.40/12,249.60 = 8,204.80/x
  3. Step 3: Cross multiply
    8,230.40x = 12,249.60 × 8,204.80
  4. Step 4: Simplify right side
    8,230.40x = 100,505,518.08
  5. Step 5: Solve for x
    x = 100,505,518.08/8,230.40
  6. Step 6: Final answer
    x = 12,211.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.