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Finding the Fourth Proportional to 4,944.62, 7,411.46 and 3,298.90

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Solution

The fourth proportional to 4,944.62, 7,411.46 and 3,298.90 is: 4,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.62 : 7,411.46 = 3,298.90 : x
  2. Step 2: Convert to fraction form
    4,944.62/7,411.46 = 3,298.90/x
  3. Step 3: Cross multiply
    4,944.62x = 7,411.46 × 3,298.90
  4. Step 4: Simplify right side
    4,944.62x = 24,449,665.39
  5. Step 5: Solve for x
    x = 24,449,665.39/4,944.62
  6. Step 6: Final answer
    x = 4,944.70

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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.