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Finding the Fourth Proportional to 8,514.71, 12,772.66 and 2,274.69

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Solution

The fourth proportional to 8,514.71, 12,772.66 and 2,274.69 is: 3,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.71 : 12,772.66 = 2,274.69 : x
  2. Step 2: Convert to fraction form
    8,514.71/12,772.66 = 2,274.69/x
  3. Step 3: Cross multiply
    8,514.71x = 12,772.66 × 2,274.69
  4. Step 4: Simplify right side
    8,514.71x = 29,053,841.98
  5. Step 5: Solve for x
    x = 29,053,841.98/8,514.71
  6. Step 6: Final answer
    x = 3,412.19

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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.