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Finding the Fourth Proportional to 4,611.43, 6,917.46 and 1,324.45

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Solution

The fourth proportional to 4,611.43, 6,917.46 and 1,324.45 is: 1,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.43 : 6,917.46 = 1,324.45 : x
  2. Step 2: Convert to fraction form
    4,611.43/6,917.46 = 1,324.45/x
  3. Step 3: Cross multiply
    4,611.43x = 6,917.46 × 1,324.45
  4. Step 4: Simplify right side
    4,611.43x = 9,161,829.90
  5. Step 5: Solve for x
    x = 9,161,829.90/4,611.43
  6. Step 6: Final answer
    x = 1,986.77

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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.