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Finding the Fourth Proportional to 4,604.92, 6,339.22 and 4,161.44

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Solution

The fourth proportional to 4,604.92, 6,339.22 and 4,161.44 is: 5,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.92 : 6,339.22 = 4,161.44 : x
  2. Step 2: Convert to fraction form
    4,604.92/6,339.22 = 4,161.44/x
  3. Step 3: Cross multiply
    4,604.92x = 6,339.22 × 4,161.44
  4. Step 4: Simplify right side
    4,604.92x = 26,380,283.68
  5. Step 5: Solve for x
    x = 26,380,283.68/4,604.92
  6. Step 6: Final answer
    x = 5,728.72

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Half scale
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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.