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Finding the Fourth Proportional to 6,322.78, 9,489.90 and 3,204.95

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Solution

The fourth proportional to 6,322.78, 9,489.90 and 3,204.95 is: 4,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.78 : 9,489.90 = 3,204.95 : x
  2. Step 2: Convert to fraction form
    6,322.78/9,489.90 = 3,204.95/x
  3. Step 3: Cross multiply
    6,322.78x = 9,489.90 × 3,204.95
  4. Step 4: Simplify right side
    6,322.78x = 30,414,655.01
  5. Step 5: Solve for x
    x = 30,414,655.01/6,322.78
  6. Step 6: Final answer
    x = 4,810.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.