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Finding the Fourth Proportional to 23,675, 35,512.78 and 6,143.76

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Solution

The fourth proportional to 23,675, 35,512.78 and 6,143.76 is: 9,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675 : 35,512.78 = 6,143.76 : x
  2. Step 2: Convert to fraction form
    23,675/35,512.78 = 6,143.76/x
  3. Step 3: Cross multiply
    23,675x = 35,512.78 × 6,143.76
  4. Step 4: Simplify right side
    23,675x = 218,181,997.25
  5. Step 5: Solve for x
    x = 218,181,997.25/23,675
  6. Step 6: Final answer
    x = 9,215.71

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1.5x scale

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.