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Finding the Fourth Proportional to 11,229.80, 16,844.70 and 8,313.80

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Solution

The fourth proportional to 11,229.80, 16,844.70 and 8,313.80 is: 12,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.80 : 16,844.70 = 8,313.80 : x
  2. Step 2: Convert to fraction form
    11,229.80/16,844.70 = 8,313.80/x
  3. Step 3: Cross multiply
    11,229.80x = 16,844.70 × 8,313.80
  4. Step 4: Simplify right side
    11,229.80x = 140,043,466.86
  5. Step 5: Solve for x
    x = 140,043,466.86/11,229.80
  6. Step 6: Final answer
    x = 12,470.70

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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.