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Finding the Fourth Proportional to 13,086, 19,637.64 and 6,161.04

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Solution

The fourth proportional to 13,086, 19,637.64 and 6,161.04 is: 9,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 19,637.64 = 6,161.04 : x
  2. Step 2: Convert to fraction form
    13,086/19,637.64 = 6,161.04/x
  3. Step 3: Cross multiply
    13,086x = 19,637.64 × 6,161.04
  4. Step 4: Simplify right side
    13,086x = 120,988,285.55
  5. Step 5: Solve for x
    x = 120,988,285.55/13,086
  6. Step 6: Final answer
    x = 9,245.63

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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.