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Finding the Fourth Proportional to 6,682.04, 9,221.09 and 3,697.85

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Solution

The fourth proportional to 6,682.04, 9,221.09 and 3,697.85 is: 5,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.04 : 9,221.09 = 3,697.85 : x
  2. Step 2: Convert to fraction form
    6,682.04/9,221.09 = 3,697.85/x
  3. Step 3: Cross multiply
    6,682.04x = 9,221.09 × 3,697.85
  4. Step 4: Simplify right side
    6,682.04x = 34,098,233.02
  5. Step 5: Solve for x
    x = 34,098,233.02/6,682.04
  6. Step 6: Final answer
    x = 5,102.96

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.