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Finding the Fourth Proportional to 6,691.85, 10,039.17 and 2,011.67

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Solution

The fourth proportional to 6,691.85, 10,039.17 and 2,011.67 is: 3,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.85 : 10,039.17 = 2,011.67 : x
  2. Step 2: Convert to fraction form
    6,691.85/10,039.17 = 2,011.67/x
  3. Step 3: Cross multiply
    6,691.85x = 10,039.17 × 2,011.67
  4. Step 4: Simplify right side
    6,691.85x = 20,195,497.11
  5. Step 5: Solve for x
    x = 20,195,497.11/6,691.85
  6. Step 6: Final answer
    x = 3,017.92

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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.