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Finding the Fourth Proportional to 8,197.04, 11,311.92 and 4,660.47

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Solution

The fourth proportional to 8,197.04, 11,311.92 and 4,660.47 is: 6,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.04 : 11,311.92 = 4,660.47 : x
  2. Step 2: Convert to fraction form
    8,197.04/11,311.92 = 4,660.47/x
  3. Step 3: Cross multiply
    8,197.04x = 11,311.92 × 4,660.47
  4. Step 4: Simplify right side
    8,197.04x = 52,718,863.80
  5. Step 5: Solve for x
    x = 52,718,863.80/8,197.04
  6. Step 6: Final answer
    x = 6,431.45

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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.