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Finding the Fourth Proportional to 13,091.96, 19,637.94 and 6,167

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Solution

The fourth proportional to 13,091.96, 19,637.94 and 6,167 is: 9,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.96 : 19,637.94 = 6,167 : x
  2. Step 2: Convert to fraction form
    13,091.96/19,637.94 = 6,167/x
  3. Step 3: Cross multiply
    13,091.96x = 19,637.94 × 6,167
  4. Step 4: Simplify right side
    13,091.96x = 121,107,175.98
  5. Step 5: Solve for x
    x = 121,107,175.98/13,091.96
  6. Step 6: Final answer
    x = 9,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.