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Finding the Fourth Proportional to 13,081.50, 19,608.51 and 6,408.81

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Solution

The fourth proportional to 13,081.50, 19,608.51 and 6,408.81 is: 9,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.50 : 19,608.51 = 6,408.81 : x
  2. Step 2: Convert to fraction form
    13,081.50/19,608.51 = 6,408.81/x
  3. Step 3: Cross multiply
    13,081.50x = 19,608.51 × 6,408.81
  4. Step 4: Simplify right side
    13,081.50x = 125,667,214.97
  5. Step 5: Solve for x
    x = 125,667,214.97/13,081.50
  6. Step 6: Final answer
    x = 9,606.48

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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.