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Finding the Fourth Proportional to 7,446.51, 11,170.24 and 2,449.22

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Solution

The fourth proportional to 7,446.51, 11,170.24 and 2,449.22 is: 3,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.51 : 11,170.24 = 2,449.22 : x
  2. Step 2: Convert to fraction form
    7,446.51/11,170.24 = 2,449.22/x
  3. Step 3: Cross multiply
    7,446.51x = 11,170.24 × 2,449.22
  4. Step 4: Simplify right side
    7,446.51x = 27,358,375.21
  5. Step 5: Solve for x
    x = 27,358,375.21/7,446.51
  6. Step 6: Final answer
    x = 3,673.99

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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.