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Finding the Fourth Proportional to 4,964.22, 6,850.98 and 3,282.72

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Solution

The fourth proportional to 4,964.22, 6,850.98 and 3,282.72 is: 4,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.22 : 6,850.98 = 3,282.72 : x
  2. Step 2: Convert to fraction form
    4,964.22/6,850.98 = 3,282.72/x
  3. Step 3: Cross multiply
    4,964.22x = 6,850.98 × 3,282.72
  4. Step 4: Simplify right side
    4,964.22x = 22,489,849.07
  5. Step 5: Solve for x
    x = 22,489,849.07/4,964.22
  6. Step 6: Final answer
    x = 4,530.39

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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.