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Finding the Fourth Proportional to 11,047.80, 16,571.70 and 8,131.80

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Solution

The fourth proportional to 11,047.80, 16,571.70 and 8,131.80 is: 12,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.80 : 16,571.70 = 8,131.80 : x
  2. Step 2: Convert to fraction form
    11,047.80/16,571.70 = 8,131.80/x
  3. Step 3: Cross multiply
    11,047.80x = 16,571.70 × 8,131.80
  4. Step 4: Simplify right side
    11,047.80x = 134,757,750.06
  5. Step 5: Solve for x
    x = 134,757,750.06/11,047.80
  6. Step 6: Final answer
    x = 12,197.70

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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.