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Finding the Fourth Proportional to 26,258, 39,387 and 6,802

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Solution

The fourth proportional to 26,258, 39,387 and 6,802 is: 10,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,258 : 39,387 = 6,802 : x
  2. Step 2: Convert to fraction form
    26,258/39,387 = 6,802/x
  3. Step 3: Cross multiply
    26,258x = 39,387 × 6,802
  4. Step 4: Simplify right side
    26,258x = 267,910,374
  5. Step 5: Solve for x
    x = 267,910,374/26,258
  6. Step 6: Final answer
    x = 10,203

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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.