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Finding the Fourth Proportional to 12,390, 17,098.26 and 6,801

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Solution

The fourth proportional to 12,390, 17,098.26 and 6,801 is: 9,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390 : 17,098.26 = 6,801 : x
  2. Step 2: Convert to fraction form
    12,390/17,098.26 = 6,801/x
  3. Step 3: Cross multiply
    12,390x = 17,098.26 × 6,801
  4. Step 4: Simplify right side
    12,390x = 116,285,266.26
  5. Step 5: Solve for x
    x = 116,285,266.26/12,390
  6. Step 6: Final answer
    x = 9,385.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.