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Finding the Fourth Proportional to 26,257, 39,385.50 and 6,801

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Solution

The fourth proportional to 26,257, 39,385.50 and 6,801 is: 10,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257 : 39,385.50 = 6,801 : x
  2. Step 2: Convert to fraction form
    26,257/39,385.50 = 6,801/x
  3. Step 3: Cross multiply
    26,257x = 39,385.50 × 6,801
  4. Step 4: Simplify right side
    26,257x = 267,860,785.50
  5. Step 5: Solve for x
    x = 267,860,785.50/26,257
  6. Step 6: Final answer
    x = 10,201.50

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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.