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Finding the Fourth Proportional to 5,144.16, 7,716.24 and 1,446.76

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Solution

The fourth proportional to 5,144.16, 7,716.24 and 1,446.76 is: 2,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.16 : 7,716.24 = 1,446.76 : x
  2. Step 2: Convert to fraction form
    5,144.16/7,716.24 = 1,446.76/x
  3. Step 3: Cross multiply
    5,144.16x = 7,716.24 × 1,446.76
  4. Step 4: Simplify right side
    5,144.16x = 11,163,540.15
  5. Step 5: Solve for x
    x = 11,163,540.15/5,144.16
  6. Step 6: Final answer
    x = 2,170.14

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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.