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Finding the Fourth Proportional to 6,910, 10,365.03 and 2,293

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Solution

The fourth proportional to 6,910, 10,365.03 and 2,293 is: 3,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910 : 10,365.03 = 2,293 : x
  2. Step 2: Convert to fraction form
    6,910/10,365.03 = 2,293/x
  3. Step 3: Cross multiply
    6,910x = 10,365.03 × 2,293
  4. Step 4: Simplify right side
    6,910x = 23,767,013.79
  5. Step 5: Solve for x
    x = 23,767,013.79/6,910
  6. Step 6: Final answer
    x = 3,439.51

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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.