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Finding the Fourth Proportional to 7,819.84, 10,791.51 and 4,282.82

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Solution

The fourth proportional to 7,819.84, 10,791.51 and 4,282.82 is: 5,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.84 : 10,791.51 = 4,282.82 : x
  2. Step 2: Convert to fraction form
    7,819.84/10,791.51 = 4,282.82/x
  3. Step 3: Cross multiply
    7,819.84x = 10,791.51 × 4,282.82
  4. Step 4: Simplify right side
    7,819.84x = 46,218,097.43
  5. Step 5: Solve for x
    x = 46,218,097.43/7,819.84
  6. Step 6: Final answer
    x = 5,910.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.