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Finding the Fourth Proportional to 6,767.68, 9,340.91 and 4,114.53

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Solution

The fourth proportional to 6,767.68, 9,340.91 and 4,114.53 is: 5,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.68 : 9,340.91 = 4,114.53 : x
  2. Step 2: Convert to fraction form
    6,767.68/9,340.91 = 4,114.53/x
  3. Step 3: Cross multiply
    6,767.68x = 9,340.91 × 4,114.53
  4. Step 4: Simplify right side
    6,767.68x = 38,433,454.42
  5. Step 5: Solve for x
    x = 38,433,454.42/6,767.68
  6. Step 6: Final answer
    x = 5,678.97

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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.