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Finding the Fourth Proportional to 12,283.39, 16,951.08 and 6,694.39

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Solution

The fourth proportional to 12,283.39, 16,951.08 and 6,694.39 is: 9,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.39 : 16,951.08 = 6,694.39 : x
  2. Step 2: Convert to fraction form
    12,283.39/16,951.08 = 6,694.39/x
  3. Step 3: Cross multiply
    12,283.39x = 16,951.08 × 6,694.39
  4. Step 4: Simplify right side
    12,283.39x = 113,477,140.44
  5. Step 5: Solve for x
    x = 113,477,140.44/12,283.39
  6. Step 6: Final answer
    x = 9,238.26

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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.