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Finding the Fourth Proportional to 23,912.88, 35,868.51 and 6,381.78

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Solution

The fourth proportional to 23,912.88, 35,868.51 and 6,381.78 is: 9,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.88 : 35,868.51 = 6,381.78 : x
  2. Step 2: Convert to fraction form
    23,912.88/35,868.51 = 6,381.78/x
  3. Step 3: Cross multiply
    23,912.88x = 35,868.51 × 6,381.78
  4. Step 4: Simplify right side
    23,912.88x = 228,904,939.75
  5. Step 5: Solve for x
    x = 228,904,939.75/23,912.88
  6. Step 6: Final answer
    x = 9,572.45

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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.