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Finding the Fourth Proportional to 6,197.70, 8,548.29 and 3,957.78

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Solution

The fourth proportional to 6,197.70, 8,548.29 and 3,957.78 is: 5,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.70 : 8,548.29 = 3,957.78 : x
  2. Step 2: Convert to fraction form
    6,197.70/8,548.29 = 3,957.78/x
  3. Step 3: Cross multiply
    6,197.70x = 8,548.29 × 3,957.78
  4. Step 4: Simplify right side
    6,197.70x = 33,832,251.20
  5. Step 5: Solve for x
    x = 33,832,251.20/6,197.70
  6. Step 6: Final answer
    x = 5,458.84

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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.