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Finding the Fourth Proportional to 12,283.97, 16,951.90 and 6,694.97

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Solution

The fourth proportional to 12,283.97, 16,951.90 and 6,694.97 is: 9,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.97 : 16,951.90 = 6,694.97 : x
  2. Step 2: Convert to fraction form
    12,283.97/16,951.90 = 6,694.97/x
  3. Step 3: Cross multiply
    12,283.97x = 16,951.90 × 6,694.97
  4. Step 4: Simplify right side
    12,283.97x = 113,492,461.94
  5. Step 5: Solve for x
    x = 113,492,461.94/12,283.97
  6. Step 6: Final answer
    x = 9,239.07

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1.5x scale

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.