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Finding the Fourth Proportional to 10,163.50, 15,246.06 and 3,238

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Solution

The fourth proportional to 10,163.50, 15,246.06 and 3,238 is: 4,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.50 : 15,246.06 = 3,238 : x
  2. Step 2: Convert to fraction form
    10,163.50/15,246.06 = 3,238/x
  3. Step 3: Cross multiply
    10,163.50x = 15,246.06 × 3,238
  4. Step 4: Simplify right side
    10,163.50x = 49,366,742.28
  5. Step 5: Solve for x
    x = 49,366,742.28/10,163.50
  6. Step 6: Final answer
    x = 4,857.26

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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.