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Finding the Fourth Proportional to 11,893.88, 16,409.34 and 7,413.98

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Solution

The fourth proportional to 11,893.88, 16,409.34 and 7,413.98 is: 10,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.88 : 16,409.34 = 7,413.98 : x
  2. Step 2: Convert to fraction form
    11,893.88/16,409.34 = 7,413.98/x
  3. Step 3: Cross multiply
    11,893.88x = 16,409.34 × 7,413.98
  4. Step 4: Simplify right side
    11,893.88x = 121,658,518.57
  5. Step 5: Solve for x
    x = 121,658,518.57/11,893.88
  6. Step 6: Final answer
    x = 10,228.67

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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.