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Finding the Fourth Proportional to 6,197.85, 8,549.87 and 3,957.37

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Solution

The fourth proportional to 6,197.85, 8,549.87 and 3,957.37 is: 5,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.85 : 8,549.87 = 3,957.37 : x
  2. Step 2: Convert to fraction form
    6,197.85/8,549.87 = 3,957.37/x
  3. Step 3: Cross multiply
    6,197.85x = 8,549.87 × 3,957.37
  4. Step 4: Simplify right side
    6,197.85x = 33,834,999.04
  5. Step 5: Solve for x
    x = 33,834,999.04/6,197.85
  6. Step 6: Final answer
    x = 5,459.15

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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.