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Finding the Fourth Proportional to 4,843.95, 6,682.14 and 3,949.08

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Solution

The fourth proportional to 4,843.95, 6,682.14 and 3,949.08 is: 5,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.95 : 6,682.14 = 3,949.08 : x
  2. Step 2: Convert to fraction form
    4,843.95/6,682.14 = 3,949.08/x
  3. Step 3: Cross multiply
    4,843.95x = 6,682.14 × 3,949.08
  4. Step 4: Simplify right side
    4,843.95x = 26,388,305.43
  5. Step 5: Solve for x
    x = 26,388,305.43/4,843.95
  6. Step 6: Final answer
    x = 5,447.68

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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.