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Finding the Fourth Proportional to 11,397, 17,096.46 and 3,189

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Solution

The fourth proportional to 11,397, 17,096.46 and 3,189 is: 4,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 17,096.46 = 3,189 : x
  2. Step 2: Convert to fraction form
    11,397/17,096.46 = 3,189/x
  3. Step 3: Cross multiply
    11,397x = 17,096.46 × 3,189
  4. Step 4: Simplify right side
    11,397x = 54,520,610.94
  5. Step 5: Solve for x
    x = 54,520,610.94/11,397
  6. Step 6: Final answer
    x = 4,783.77

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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.