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Finding the Fourth Proportional to 15,850.64, 23,775 and 4,163.84

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Solution

The fourth proportional to 15,850.64, 23,775 and 4,163.84 is: 6,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.64 : 23,775 = 4,163.84 : x
  2. Step 2: Convert to fraction form
    15,850.64/23,775 = 4,163.84/x
  3. Step 3: Cross multiply
    15,850.64x = 23,775 × 4,163.84
  4. Step 4: Simplify right side
    15,850.64x = 98,995,296
  5. Step 5: Solve for x
    x = 98,995,296/15,850.64
  6. Step 6: Final answer
    x = 6,245.51

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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.