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Finding the Fourth Proportional to 3,766.74, 5,651.04 and 1,169.64

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Solution

The fourth proportional to 3,766.74, 5,651.04 and 1,169.64 is: 1,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.74 : 5,651.04 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    3,766.74/5,651.04 = 1,169.64/x
  3. Step 3: Cross multiply
    3,766.74x = 5,651.04 × 1,169.64
  4. Step 4: Simplify right side
    3,766.74x = 6,609,682.43
  5. Step 5: Solve for x
    x = 6,609,682.43/3,766.74
  6. Step 6: Final answer
    x = 1,754.75

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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.