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Finding the Fourth Proportional to 23,814, 35,721 and 6,283.98

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Solution

The fourth proportional to 23,814, 35,721 and 6,283.98 is: 9,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 35,721 = 6,283.98 : x
  2. Step 2: Convert to fraction form
    23,814/35,721 = 6,283.98/x
  3. Step 3: Cross multiply
    23,814x = 35,721 × 6,283.98
  4. Step 4: Simplify right side
    23,814x = 224,470,049.58
  5. Step 5: Solve for x
    x = 224,470,049.58/23,814
  6. Step 6: Final answer
    x = 9,425.97

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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.