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Finding the Fourth Proportional to 4,611.96, 6,917.94 and 1,149.21

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Solution

The fourth proportional to 4,611.96, 6,917.94 and 1,149.21 is: 1,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.96 : 6,917.94 = 1,149.21 : x
  2. Step 2: Convert to fraction form
    4,611.96/6,917.94 = 1,149.21/x
  3. Step 3: Cross multiply
    4,611.96x = 6,917.94 × 1,149.21
  4. Step 4: Simplify right side
    4,611.96x = 7,950,165.83
  5. Step 5: Solve for x
    x = 7,950,165.83/4,611.96
  6. Step 6: Final answer
    x = 1,723.82

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Similar ratio
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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.