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Finding the Fourth Proportional to 6,868.38, 9,480.60 and 4,035.71

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Solution

The fourth proportional to 6,868.38, 9,480.60 and 4,035.71 is: 5,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.38 : 9,480.60 = 4,035.71 : x
  2. Step 2: Convert to fraction form
    6,868.38/9,480.60 = 4,035.71/x
  3. Step 3: Cross multiply
    6,868.38x = 9,480.60 × 4,035.71
  4. Step 4: Simplify right side
    6,868.38x = 38,260,904.82
  5. Step 5: Solve for x
    x = 38,260,904.82/6,868.38
  6. Step 6: Final answer
    x = 5,570.59

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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.