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Finding the Fourth Proportional to 23,650, 35,475 and 7,234

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Solution

The fourth proportional to 23,650, 35,475 and 7,234 is: 10,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650 : 35,475 = 7,234 : x
  2. Step 2: Convert to fraction form
    23,650/35,475 = 7,234/x
  3. Step 3: Cross multiply
    23,650x = 35,475 × 7,234
  4. Step 4: Simplify right side
    23,650x = 256,626,150
  5. Step 5: Solve for x
    x = 256,626,150/23,650
  6. Step 6: Final answer
    x = 10,851

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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.