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Finding the Fourth Proportional to 11,612.97, 17,424.92 and 7,228.04

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Solution

The fourth proportional to 11,612.97, 17,424.92 and 7,228.04 is: 10,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.97 : 17,424.92 = 7,228.04 : x
  2. Step 2: Convert to fraction form
    11,612.97/17,424.92 = 7,228.04/x
  3. Step 3: Cross multiply
    11,612.97x = 17,424.92 × 7,228.04
  4. Step 4: Simplify right side
    11,612.97x = 125,947,949.70
  5. Step 5: Solve for x
    x = 125,947,949.70/11,612.97
  6. Step 6: Final answer
    x = 10,845.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.