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Finding the Fourth Proportional to 33,798, 50,697 and 9,174

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Solution

The fourth proportional to 33,798, 50,697 and 9,174 is: 13,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,798 : 50,697 = 9,174 : x
  2. Step 2: Convert to fraction form
    33,798/50,697 = 9,174/x
  3. Step 3: Cross multiply
    33,798x = 50,697 × 9,174
  4. Step 4: Simplify right side
    33,798x = 465,094,278
  5. Step 5: Solve for x
    x = 465,094,278/33,798
  6. Step 6: Final answer
    x = 13,761

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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.