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Finding the Fourth Proportional to 8,197.03, 11,311.65 and 4,612.20

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Solution

The fourth proportional to 8,197.03, 11,311.65 and 4,612.20 is: 6,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.03 : 11,311.65 = 4,612.20 : x
  2. Step 2: Convert to fraction form
    8,197.03/11,311.65 = 4,612.20/x
  3. Step 3: Cross multiply
    8,197.03x = 11,311.65 × 4,612.20
  4. Step 4: Simplify right side
    8,197.03x = 52,171,524.04
  5. Step 5: Solve for x
    x = 52,171,524.04/8,197.03
  6. Step 6: Final answer
    x = 6,364.68

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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.