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Finding the Fourth Proportional to 11,661.75, 16,092.81 and 6,356.25

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Solution

The fourth proportional to 11,661.75, 16,092.81 and 6,356.25 is: 8,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.75 : 16,092.81 = 6,356.25 : x
  2. Step 2: Convert to fraction form
    11,661.75/16,092.81 = 6,356.25/x
  3. Step 3: Cross multiply
    11,661.75x = 16,092.81 × 6,356.25
  4. Step 4: Simplify right side
    11,661.75x = 102,289,923.56
  5. Step 5: Solve for x
    x = 102,289,923.56/11,661.75
  6. Step 6: Final answer
    x = 8,771.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.