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Finding the Fourth Proportional to 12,466, 17,203.41 and 6,800.84

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Solution

The fourth proportional to 12,466, 17,203.41 and 6,800.84 is: 9,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466 : 17,203.41 = 6,800.84 : x
  2. Step 2: Convert to fraction form
    12,466/17,203.41 = 6,800.84/x
  3. Step 3: Cross multiply
    12,466x = 17,203.41 × 6,800.84
  4. Step 4: Simplify right side
    12,466x = 116,997,604.86
  5. Step 5: Solve for x
    x = 116,997,604.86/12,466
  6. Step 6: Final answer
    x = 9,385.34

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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.