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Finding the Fourth Proportional to 11,893.51, 16,413.06 and 6,588.31

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Solution

The fourth proportional to 11,893.51, 16,413.06 and 6,588.31 is: 9,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.51 : 16,413.06 = 6,588.31 : x
  2. Step 2: Convert to fraction form
    11,893.51/16,413.06 = 6,588.31/x
  3. Step 3: Cross multiply
    11,893.51x = 16,413.06 × 6,588.31
  4. Step 4: Simplify right side
    11,893.51x = 108,134,327.33
  5. Step 5: Solve for x
    x = 108,134,327.33/11,893.51
  6. Step 6: Final answer
    x = 9,091.88

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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.