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Finding the Fourth Proportional to 6,207.60, 9,311.40 and 5,843.10

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Solution

The fourth proportional to 6,207.60, 9,311.40 and 5,843.10 is: 8,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.60 : 9,311.40 = 5,843.10 : x
  2. Step 2: Convert to fraction form
    6,207.60/9,311.40 = 5,843.10/x
  3. Step 3: Cross multiply
    6,207.60x = 9,311.40 × 5,843.10
  4. Step 4: Simplify right side
    6,207.60x = 54,407,441.34
  5. Step 5: Solve for x
    x = 54,407,441.34/6,207.60
  6. Step 6: Final answer
    x = 8,764.65

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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.