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Finding the Fourth Proportional to 8,197.91, 12,296.88 and 2,353.16

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Solution

The fourth proportional to 8,197.91, 12,296.88 and 2,353.16 is: 3,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.91 : 12,296.88 = 2,353.16 : x
  2. Step 2: Convert to fraction form
    8,197.91/12,296.88 = 2,353.16/x
  3. Step 3: Cross multiply
    8,197.91x = 12,296.88 × 2,353.16
  4. Step 4: Simplify right side
    8,197.91x = 28,936,526.14
  5. Step 5: Solve for x
    x = 28,936,526.14/8,197.91
  6. Step 6: Final answer
    x = 3,529.74

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Similar ratio
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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.