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Finding the Fourth Proportional to 11,601.92, 16,009.77 and 6,822.06

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Solution

The fourth proportional to 11,601.92, 16,009.77 and 6,822.06 is: 9,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.92 : 16,009.77 = 6,822.06 : x
  2. Step 2: Convert to fraction form
    11,601.92/16,009.77 = 6,822.06/x
  3. Step 3: Cross multiply
    11,601.92x = 16,009.77 × 6,822.06
  4. Step 4: Simplify right side
    11,601.92x = 109,219,611.53
  5. Step 5: Solve for x
    x = 109,219,611.53/11,601.92
  6. Step 6: Final answer
    x = 9,413.93

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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.