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Finding the Fourth Proportional to 12,283.50, 16,951.23 and 6,694.50

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Solution

The fourth proportional to 12,283.50, 16,951.23 and 6,694.50 is: 9,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.50 : 16,951.23 = 6,694.50 : x
  2. Step 2: Convert to fraction form
    12,283.50/16,951.23 = 6,694.50/x
  3. Step 3: Cross multiply
    12,283.50x = 16,951.23 × 6,694.50
  4. Step 4: Simplify right side
    12,283.50x = 113,480,009.24
  5. Step 5: Solve for x
    x = 113,480,009.24/12,283.50
  6. Step 6: Final answer
    x = 9,238.41

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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.