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Finding the Fourth Proportional to 4,612.09, 6,914.26 and 3,951.31

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Solution

The fourth proportional to 4,612.09, 6,914.26 and 3,951.31 is: 5,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.09 : 6,914.26 = 3,951.31 : x
  2. Step 2: Convert to fraction form
    4,612.09/6,914.26 = 3,951.31/x
  3. Step 3: Cross multiply
    4,612.09x = 6,914.26 × 3,951.31
  4. Step 4: Simplify right side
    4,612.09x = 27,320,384.68
  5. Step 5: Solve for x
    x = 27,320,384.68/4,612.09
  6. Step 6: Final answer
    x = 5,923.65

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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.