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Finding the Fourth Proportional to 4,114.58, 6,171.81 and 994.56

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Solution

The fourth proportional to 4,114.58, 6,171.81 and 994.56 is: 1,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.58 : 6,171.81 = 994.56 : x
  2. Step 2: Convert to fraction form
    4,114.58/6,171.81 = 994.56/x
  3. Step 3: Cross multiply
    4,114.58x = 6,171.81 × 994.56
  4. Step 4: Simplify right side
    4,114.58x = 6,138,235.35
  5. Step 5: Solve for x
    x = 6,138,235.35/4,114.58
  6. Step 6: Final answer
    x = 1,491.83

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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.