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Finding the Fourth Proportional to 11,896.62, 16,413.11 and 7,113.24

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Solution

The fourth proportional to 11,896.62, 16,413.11 and 7,113.24 is: 9,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.62 : 16,413.11 = 7,113.24 : x
  2. Step 2: Convert to fraction form
    11,896.62/16,413.11 = 7,113.24/x
  3. Step 3: Cross multiply
    11,896.62x = 16,413.11 × 7,113.24
  4. Step 4: Simplify right side
    11,896.62x = 116,750,390.58
  5. Step 5: Solve for x
    x = 116,750,390.58/11,896.62
  6. Step 6: Final answer
    x = 9,813.74

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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.