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Finding the Fourth Proportional to 4,614.23, 6,922.44 and 1,494.24

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Solution

The fourth proportional to 4,614.23, 6,922.44 and 1,494.24 is: 2,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.23 : 6,922.44 = 1,494.24 : x
  2. Step 2: Convert to fraction form
    4,614.23/6,922.44 = 1,494.24/x
  3. Step 3: Cross multiply
    4,614.23x = 6,922.44 × 1,494.24
  4. Step 4: Simplify right side
    4,614.23x = 10,343,760.79
  5. Step 5: Solve for x
    x = 10,343,760.79/4,614.23
  6. Step 6: Final answer
    x = 2,241.71

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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.