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Finding the Fourth Proportional to 11,661.82, 16,092.83 and 6,356.52

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Solution

The fourth proportional to 11,661.82, 16,092.83 and 6,356.52 is: 8,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.82 : 16,092.83 = 6,356.52 : x
  2. Step 2: Convert to fraction form
    11,661.82/16,092.83 = 6,356.52/x
  3. Step 3: Cross multiply
    11,661.82x = 16,092.83 × 6,356.52
  4. Step 4: Simplify right side
    11,661.82x = 102,294,395.75
  5. Step 5: Solve for x
    x = 102,294,395.75/11,661.82
  6. Step 6: Final answer
    x = 8,771.74

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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.