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Finding the Fourth Proportional to 4,611.50, 6,917.18 and 2,144.94

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Solution

The fourth proportional to 4,611.50, 6,917.18 and 2,144.94 is: 3,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.50 : 6,917.18 = 2,144.94 : x
  2. Step 2: Convert to fraction form
    4,611.50/6,917.18 = 2,144.94/x
  3. Step 3: Cross multiply
    4,611.50x = 6,917.18 × 2,144.94
  4. Step 4: Simplify right side
    4,611.50x = 14,836,936.07
  5. Step 5: Solve for x
    x = 14,836,936.07/4,611.50
  6. Step 6: Final answer
    x = 3,217.38

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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.