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Finding the Fourth Proportional to 11,661.61, 16,093.19 and 7,182.82

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Solution

The fourth proportional to 11,661.61, 16,093.19 and 7,182.82 is: 9,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.61 : 16,093.19 = 7,182.82 : x
  2. Step 2: Convert to fraction form
    11,661.61/16,093.19 = 7,182.82/x
  3. Step 3: Cross multiply
    11,661.61x = 16,093.19 × 7,182.82
  4. Step 4: Simplify right side
    11,661.61x = 115,594,370.62
  5. Step 5: Solve for x
    x = 115,594,370.62/11,661.61
  6. Step 6: Final answer
    x = 9,912.39

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Half scale
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Double scale
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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.