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Finding the Fourth Proportional to 4,151.97, 6,227.96 and 2,849.49

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Solution

The fourth proportional to 4,151.97, 6,227.96 and 2,849.49 is: 4,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.97 : 6,227.96 = 2,849.49 : x
  2. Step 2: Convert to fraction form
    4,151.97/6,227.96 = 2,849.49/x
  3. Step 3: Cross multiply
    4,151.97x = 6,227.96 × 2,849.49
  4. Step 4: Simplify right side
    4,151.97x = 17,746,495.49
  5. Step 5: Solve for x
    x = 17,746,495.49/4,151.97
  6. Step 6: Final answer
    x = 4,274.24

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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.