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Finding the Fourth Proportional to 8,197.00, 12,292.97 and 4,247.03

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Solution

The fourth proportional to 8,197.00, 12,292.97 and 4,247.03 is: 6,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.00 : 12,292.97 = 4,247.03 : x
  2. Step 2: Convert to fraction form
    8,197.00/12,292.97 = 4,247.03/x
  3. Step 3: Cross multiply
    8,197.00x = 12,292.97 × 4,247.03
  4. Step 4: Simplify right side
    8,197.00x = 52,208,621.88
  5. Step 5: Solve for x
    x = 52,208,621.88/8,197.00
  6. Step 6: Final answer
    x = 6,369.24

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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.