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Finding the Fourth Proportional to 11,893.37, 16,408.64 and 7,413.39

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Solution

The fourth proportional to 11,893.37, 16,408.64 and 7,413.39 is: 10,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.37 : 16,408.64 = 7,413.39 : x
  2. Step 2: Convert to fraction form
    11,893.37/16,408.64 = 7,413.39/x
  3. Step 3: Cross multiply
    11,893.37x = 16,408.64 × 7,413.39
  4. Step 4: Simplify right side
    11,893.37x = 121,643,666.22
  5. Step 5: Solve for x
    x = 121,643,666.22/11,893.37
  6. Step 6: Final answer
    x = 10,227.86

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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.