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Finding the Fourth Proportional to 26,256, 39,384 and 6,800

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Solution

The fourth proportional to 26,256, 39,384 and 6,800 is: 10,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256 : 39,384 = 6,800 : x
  2. Step 2: Convert to fraction form
    26,256/39,384 = 6,800/x
  3. Step 3: Cross multiply
    26,256x = 39,384 × 6,800
  4. Step 4: Simplify right side
    26,256x = 267,811,200
  5. Step 5: Solve for x
    x = 267,811,200/26,256
  6. Step 6: Final answer
    x = 10,200

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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.