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Finding the Fourth Proportional to 10,843.57, 14,963.94 and 6,366.47

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Solution

The fourth proportional to 10,843.57, 14,963.94 and 6,366.47 is: 8,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.57 : 14,963.94 = 6,366.47 : x
  2. Step 2: Convert to fraction form
    10,843.57/14,963.94 = 6,366.47/x
  3. Step 3: Cross multiply
    10,843.57x = 14,963.94 × 6,366.47
  4. Step 4: Simplify right side
    10,843.57x = 95,267,400.27
  5. Step 5: Solve for x
    x = 95,267,400.27/10,843.57
  6. Step 6: Final answer
    x = 8,785.61

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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.