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Finding the Fourth Proportional to 13,096, 19,644.54 and 3,862

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Solution

The fourth proportional to 13,096, 19,644.54 and 3,862 is: 5,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096 : 19,644.54 = 3,862 : x
  2. Step 2: Convert to fraction form
    13,096/19,644.54 = 3,862/x
  3. Step 3: Cross multiply
    13,096x = 19,644.54 × 3,862
  4. Step 4: Simplify right side
    13,096x = 75,867,213.48
  5. Step 5: Solve for x
    x = 75,867,213.48/13,096
  6. Step 6: Final answer
    x = 5,793.16

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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.