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Finding the Fourth Proportional to 23,797.30, 35,697.70 and 6,267

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Solution

The fourth proportional to 23,797.30, 35,697.70 and 6,267 is: 9,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.30 : 35,697.70 = 6,267 : x
  2. Step 2: Convert to fraction form
    23,797.30/35,697.70 = 6,267/x
  3. Step 3: Cross multiply
    23,797.30x = 35,697.70 × 6,267
  4. Step 4: Simplify right side
    23,797.30x = 223,717,485.90
  5. Step 5: Solve for x
    x = 223,717,485.90/23,797.30
  6. Step 6: Final answer
    x = 9,400.96

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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.