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Finding the Fourth Proportional to 34,174, 51,261 and 9,550

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Solution

The fourth proportional to 34,174, 51,261 and 9,550 is: 14,325

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174 : 51,261 = 9,550 : x
  2. Step 2: Convert to fraction form
    34,174/51,261 = 9,550/x
  3. Step 3: Cross multiply
    34,174x = 51,261 × 9,550
  4. Step 4: Simplify right side
    34,174x = 489,542,550
  5. Step 5: Solve for x
    x = 489,542,550/34,174
  6. Step 6: Final answer
    x = 14,325

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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.