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Finding the Fourth Proportional to 4,611.94, 6,917.91 and 1,149.19

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Solution

The fourth proportional to 4,611.94, 6,917.91 and 1,149.19 is: 1,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.94 : 6,917.91 = 1,149.19 : x
  2. Step 2: Convert to fraction form
    4,611.94/6,917.91 = 1,149.19/x
  3. Step 3: Cross multiply
    4,611.94x = 6,917.91 × 1,149.19
  4. Step 4: Simplify right side
    4,611.94x = 7,949,971.39
  5. Step 5: Solve for x
    x = 7,949,971.39/4,611.94
  6. Step 6: Final answer
    x = 1,723.78

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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.