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Finding the Fourth Proportional to 11,206, 15,464.34 and 6,238

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Solution

The fourth proportional to 11,206, 15,464.34 and 6,238 is: 8,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206 : 15,464.34 = 6,238 : x
  2. Step 2: Convert to fraction form
    11,206/15,464.34 = 6,238/x
  3. Step 3: Cross multiply
    11,206x = 15,464.34 × 6,238
  4. Step 4: Simplify right side
    11,206x = 96,466,552.92
  5. Step 5: Solve for x
    x = 96,466,552.92/11,206
  6. Step 6: Final answer
    x = 8,608.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.