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Finding the Fourth Proportional to 6,197.88, 8,549.94 and 3,957.42

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Solution

The fourth proportional to 6,197.88, 8,549.94 and 3,957.42 is: 5,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.88 : 8,549.94 = 3,957.42 : x
  2. Step 2: Convert to fraction form
    6,197.88/8,549.94 = 3,957.42/x
  3. Step 3: Cross multiply
    6,197.88x = 8,549.94 × 3,957.42
  4. Step 4: Simplify right side
    6,197.88x = 33,835,703.55
  5. Step 5: Solve for x
    x = 33,835,703.55/6,197.88
  6. Step 6: Final answer
    x = 5,459.24

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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.