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Finding the Fourth Proportional to 10,843.88, 14,965.46 and 6,863.54

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Solution

The fourth proportional to 10,843.88, 14,965.46 and 6,863.54 is: 9,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.88 : 14,965.46 = 6,863.54 : x
  2. Step 2: Convert to fraction form
    10,843.88/14,965.46 = 6,863.54/x
  3. Step 3: Cross multiply
    10,843.88x = 14,965.46 × 6,863.54
  4. Step 4: Simplify right side
    10,843.88x = 102,715,949.92
  5. Step 5: Solve for x
    x = 102,715,949.92/10,843.88
  6. Step 6: Final answer
    x = 9,472.26

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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.