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Finding the Fourth Proportional to 6,802, 9,386.76 and 3,858

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Solution

The fourth proportional to 6,802, 9,386.76 and 3,858 is: 5,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802 : 9,386.76 = 3,858 : x
  2. Step 2: Convert to fraction form
    6,802/9,386.76 = 3,858/x
  3. Step 3: Cross multiply
    6,802x = 9,386.76 × 3,858
  4. Step 4: Simplify right side
    6,802x = 36,214,120.08
  5. Step 5: Solve for x
    x = 36,214,120.08/6,802
  6. Step 6: Final answer
    x = 5,324.04

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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.