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Finding the Fourth Proportional to 4,611.44, 6,917.07 and 1,324.46

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Solution

The fourth proportional to 4,611.44, 6,917.07 and 1,324.46 is: 1,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.44 : 6,917.07 = 1,324.46 : x
  2. Step 2: Convert to fraction form
    4,611.44/6,917.07 = 1,324.46/x
  3. Step 3: Cross multiply
    4,611.44x = 6,917.07 × 1,324.46
  4. Step 4: Simplify right side
    4,611.44x = 9,161,382.53
  5. Step 5: Solve for x
    x = 9,161,382.53/4,611.44
  6. Step 6: Final answer
    x = 1,986.66

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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.