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Finding the Fourth Proportional to 6,914, 10,371 and 2,297

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Solution

The fourth proportional to 6,914, 10,371 and 2,297 is: 3,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 10,371 = 2,297 : x
  2. Step 2: Convert to fraction form
    6,914/10,371 = 2,297/x
  3. Step 3: Cross multiply
    6,914x = 10,371 × 2,297
  4. Step 4: Simplify right side
    6,914x = 23,822,187
  5. Step 5: Solve for x
    x = 23,822,187/6,914
  6. Step 6: Final answer
    x = 3,445.50

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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.