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Finding the Fourth Proportional to 6,367.68, 9,538.56 and 4,177.44

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Solution

The fourth proportional to 6,367.68, 9,538.56 and 4,177.44 is: 6,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.68 : 9,538.56 = 4,177.44 : x
  2. Step 2: Convert to fraction form
    6,367.68/9,538.56 = 4,177.44/x
  3. Step 3: Cross multiply
    6,367.68x = 9,538.56 × 4,177.44
  4. Step 4: Simplify right side
    6,367.68x = 39,846,762.09
  5. Step 5: Solve for x
    x = 39,846,762.09/6,367.68
  6. Step 6: Final answer
    x = 6,257.66

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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.