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Finding the Fourth Proportional to 19,734, 29,601 and 5,142

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Solution

The fourth proportional to 19,734, 29,601 and 5,142 is: 7,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 29,601 = 5,142 : x
  2. Step 2: Convert to fraction form
    19,734/29,601 = 5,142/x
  3. Step 3: Cross multiply
    19,734x = 29,601 × 5,142
  4. Step 4: Simplify right side
    19,734x = 152,208,342
  5. Step 5: Solve for x
    x = 152,208,342/19,734
  6. Step 6: Final answer
    x = 7,713

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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.