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Finding the Fourth Proportional to 4,322.54, 6,447.99 and 4,195.07

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Solution

The fourth proportional to 4,322.54, 6,447.99 and 4,195.07 is: 6,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.54 : 6,447.99 = 4,195.07 : x
  2. Step 2: Convert to fraction form
    4,322.54/6,447.99 = 4,195.07/x
  3. Step 3: Cross multiply
    4,322.54x = 6,447.99 × 4,195.07
  4. Step 4: Simplify right side
    4,322.54x = 27,049,789.75
  5. Step 5: Solve for x
    x = 27,049,789.75/4,322.54
  6. Step 6: Final answer
    x = 6,257.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.