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Finding the Fourth Proportional to 6,911.48, 9,537.83 and 3,767.67

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Solution

The fourth proportional to 6,911.48, 9,537.83 and 3,767.67 is: 5,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.48 : 9,537.83 = 3,767.67 : x
  2. Step 2: Convert to fraction form
    6,911.48/9,537.83 = 3,767.67/x
  3. Step 3: Cross multiply
    6,911.48x = 9,537.83 × 3,767.67
  4. Step 4: Simplify right side
    6,911.48x = 35,935,377.12
  5. Step 5: Solve for x
    x = 35,935,377.12/6,911.48
  6. Step 6: Final answer
    x = 5,199.38

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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.