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Finding the Fourth Proportional to 7,850.97, 10,834.31 and 4,314.41

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Solution

The fourth proportional to 7,850.97, 10,834.31 and 4,314.41 is: 5,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.97 : 10,834.31 = 4,314.41 : x
  2. Step 2: Convert to fraction form
    7,850.97/10,834.31 = 4,314.41/x
  3. Step 3: Cross multiply
    7,850.97x = 10,834.31 × 4,314.41
  4. Step 4: Simplify right side
    7,850.97x = 46,743,579.66
  5. Step 5: Solve for x
    x = 46,743,579.66/7,850.97
  6. Step 6: Final answer
    x = 5,953.86

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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.