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Finding the Fourth Proportional to 4,671.41, 6,976.83 and 4,231.78

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Solution

The fourth proportional to 4,671.41, 6,976.83 and 4,231.78 is: 6,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.41 : 6,976.83 = 4,231.78 : x
  2. Step 2: Convert to fraction form
    4,671.41/6,976.83 = 4,231.78/x
  3. Step 3: Cross multiply
    4,671.41x = 6,976.83 × 4,231.78
  4. Step 4: Simplify right side
    4,671.41x = 29,524,408.08
  5. Step 5: Solve for x
    x = 29,524,408.08/4,671.41
  6. Step 6: Final answer
    x = 6,320.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.