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Finding the Fourth Proportional to 7,234.60, 10,851.90 and 6,197.80

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Solution

The fourth proportional to 7,234.60, 10,851.90 and 6,197.80 is: 9,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.60 : 10,851.90 = 6,197.80 : x
  2. Step 2: Convert to fraction form
    7,234.60/10,851.90 = 6,197.80/x
  3. Step 3: Cross multiply
    7,234.60x = 10,851.90 × 6,197.80
  4. Step 4: Simplify right side
    7,234.60x = 67,257,905.82
  5. Step 5: Solve for x
    x = 67,257,905.82/7,234.60
  6. Step 6: Final answer
    x = 9,296.70

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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.