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Finding the Fourth Proportional to 6,367.46, 9,548.46 and 2,616.71

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Solution

The fourth proportional to 6,367.46, 9,548.46 and 2,616.71 is: 3,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.46 : 9,548.46 = 2,616.71 : x
  2. Step 2: Convert to fraction form
    6,367.46/9,548.46 = 2,616.71/x
  3. Step 3: Cross multiply
    6,367.46x = 9,548.46 × 2,616.71
  4. Step 4: Simplify right side
    6,367.46x = 24,985,503.02
  5. Step 5: Solve for x
    x = 24,985,503.02/6,367.46
  6. Step 6: Final answer
    x = 3,923.94

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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.