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Finding the Fourth Proportional to 6,820.60, 10,230.90 and 5,727.10

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Solution

The fourth proportional to 6,820.60, 10,230.90 and 5,727.10 is: 8,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.60 : 10,230.90 = 5,727.10 : x
  2. Step 2: Convert to fraction form
    6,820.60/10,230.90 = 5,727.10/x
  3. Step 3: Cross multiply
    6,820.60x = 10,230.90 × 5,727.10
  4. Step 4: Simplify right side
    6,820.60x = 58,593,387.39
  5. Step 5: Solve for x
    x = 58,593,387.39/6,820.60
  6. Step 6: Final answer
    x = 8,590.65

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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.