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Finding the Fourth Proportional to 11,893.92, 16,413.69 and 6,516.63

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Solution

The fourth proportional to 11,893.92, 16,413.69 and 6,516.63 is: 8,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.92 : 16,413.69 = 6,516.63 : x
  2. Step 2: Convert to fraction form
    11,893.92/16,413.69 = 6,516.63/x
  3. Step 3: Cross multiply
    11,893.92x = 16,413.69 × 6,516.63
  4. Step 4: Simplify right side
    11,893.92x = 106,961,944.66
  5. Step 5: Solve for x
    x = 106,961,944.66/11,893.92
  6. Step 6: Final answer
    x = 8,992.99

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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.