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Finding the Fourth Proportional to 23,514, 35,271 and 7,098

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Solution

The fourth proportional to 23,514, 35,271 and 7,098 is: 10,647

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514 : 35,271 = 7,098 : x
  2. Step 2: Convert to fraction form
    23,514/35,271 = 7,098/x
  3. Step 3: Cross multiply
    23,514x = 35,271 × 7,098
  4. Step 4: Simplify right side
    23,514x = 250,353,558
  5. Step 5: Solve for x
    x = 250,353,558/23,514
  6. Step 6: Final answer
    x = 10,647

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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.