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Finding the Fourth Proportional to 7,745.66, 10,694.16 and 5,949.94

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Solution

The fourth proportional to 7,745.66, 10,694.16 and 5,949.94 is: 8,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.66 : 10,694.16 = 5,949.94 : x
  2. Step 2: Convert to fraction form
    7,745.66/10,694.16 = 5,949.94/x
  3. Step 3: Cross multiply
    7,745.66x = 10,694.16 × 5,949.94
  4. Step 4: Simplify right side
    7,745.66x = 63,629,610.35
  5. Step 5: Solve for x
    x = 63,629,610.35/7,745.66
  6. Step 6: Final answer
    x = 8,214.87

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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.