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Finding the Fourth Proportional to 7,865.40, 11,798.10 and 7,231.80

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Solution

The fourth proportional to 7,865.40, 11,798.10 and 7,231.80 is: 10,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.40 : 11,798.10 = 7,231.80 : x
  2. Step 2: Convert to fraction form
    7,865.40/11,798.10 = 7,231.80/x
  3. Step 3: Cross multiply
    7,865.40x = 11,798.10 × 7,231.80
  4. Step 4: Simplify right side
    7,865.40x = 85,321,499.58
  5. Step 5: Solve for x
    x = 85,321,499.58/7,865.40
  6. Step 6: Final answer
    x = 10,847.70

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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.