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Finding the Fourth Proportional to 10,843.68, 14,964.14 and 6,366.66

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Solution

The fourth proportional to 10,843.68, 14,964.14 and 6,366.66 is: 8,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.68 : 14,964.14 = 6,366.66 : x
  2. Step 2: Convert to fraction form
    10,843.68/14,964.14 = 6,366.66/x
  3. Step 3: Cross multiply
    10,843.68x = 14,964.14 × 6,366.66
  4. Step 4: Simplify right side
    10,843.68x = 95,271,591.57
  5. Step 5: Solve for x
    x = 95,271,591.57/10,843.68
  6. Step 6: Final answer
    x = 8,785.91

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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.