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Finding the Fourth Proportional to 23,538, 35,307 and 7,122

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Solution

The fourth proportional to 23,538, 35,307 and 7,122 is: 10,683

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538 : 35,307 = 7,122 : x
  2. Step 2: Convert to fraction form
    23,538/35,307 = 7,122/x
  3. Step 3: Cross multiply
    23,538x = 35,307 × 7,122
  4. Step 4: Simplify right side
    23,538x = 251,456,454
  5. Step 5: Solve for x
    x = 251,456,454/23,538
  6. Step 6: Final answer
    x = 10,683

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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.