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Finding the Fourth Proportional to 11,119.80, 16,639.20 and 8,203.80

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Solution

The fourth proportional to 11,119.80, 16,639.20 and 8,203.80 is: 12,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.80 : 16,639.20 = 8,203.80 : x
  2. Step 2: Convert to fraction form
    11,119.80/16,639.20 = 8,203.80/x
  3. Step 3: Cross multiply
    11,119.80x = 16,639.20 × 8,203.80
  4. Step 4: Simplify right side
    11,119.80x = 136,504,668.96
  5. Step 5: Solve for x
    x = 136,504,668.96/11,119.80
  6. Step 6: Final answer
    x = 12,275.82

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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.