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Finding the Fourth Proportional to 6,496.70, 8,963.32 and 3,976.19

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Solution

The fourth proportional to 6,496.70, 8,963.32 and 3,976.19 is: 5,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.70 : 8,963.32 = 3,976.19 : x
  2. Step 2: Convert to fraction form
    6,496.70/8,963.32 = 3,976.19/x
  3. Step 3: Cross multiply
    6,496.70x = 8,963.32 × 3,976.19
  4. Step 4: Simplify right side
    6,496.70x = 35,639,863.35
  5. Step 5: Solve for x
    x = 35,639,863.35/6,496.70
  6. Step 6: Final answer
    x = 5,485.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.