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Finding the Fourth Proportional to 8,197.60, 12,296.40 and 8,111.20

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Solution

The fourth proportional to 8,197.60, 12,296.40 and 8,111.20 is: 12,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.60 : 12,296.40 = 8,111.20 : x
  2. Step 2: Convert to fraction form
    8,197.60/12,296.40 = 8,111.20/x
  3. Step 3: Cross multiply
    8,197.60x = 12,296.40 × 8,111.20
  4. Step 4: Simplify right side
    8,197.60x = 99,738,559.68
  5. Step 5: Solve for x
    x = 99,738,559.68/8,197.60
  6. Step 6: Final answer
    x = 12,166.80

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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.