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Finding the Fourth Proportional to 12,143.25, 16,757.74 and 6,838.16

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Solution

The fourth proportional to 12,143.25, 16,757.74 and 6,838.16 is: 9,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.25 : 16,757.74 = 6,838.16 : x
  2. Step 2: Convert to fraction form
    12,143.25/16,757.74 = 6,838.16/x
  3. Step 3: Cross multiply
    12,143.25x = 16,757.74 × 6,838.16
  4. Step 4: Simplify right side
    12,143.25x = 114,591,993.65
  5. Step 5: Solve for x
    x = 114,591,993.65/12,143.25
  6. Step 6: Final answer
    x = 9,436.68

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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.