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Finding the Fourth Proportional to 8,511.66, 12,767.84 and 2,965.57

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Solution

The fourth proportional to 8,511.66, 12,767.84 and 2,965.57 is: 4,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.66 : 12,767.84 = 2,965.57 : x
  2. Step 2: Convert to fraction form
    8,511.66/12,767.84 = 2,965.57/x
  3. Step 3: Cross multiply
    8,511.66x = 12,767.84 × 2,965.57
  4. Step 4: Simplify right side
    8,511.66x = 37,863,923.27
  5. Step 5: Solve for x
    x = 37,863,923.27/8,511.66
  6. Step 6: Final answer
    x = 4,448.48

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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.