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Finding the Fourth Proportional to 6,877, 9,490.27 and 3,733.19

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Solution

The fourth proportional to 6,877, 9,490.27 and 3,733.19 is: 5,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877 : 9,490.27 = 3,733.19 : x
  2. Step 2: Convert to fraction form
    6,877/9,490.27 = 3,733.19/x
  3. Step 3: Cross multiply
    6,877x = 9,490.27 × 3,733.19
  4. Step 4: Simplify right side
    6,877x = 35,428,981.06
  5. Step 5: Solve for x
    x = 35,428,981.06/6,877
  6. Step 6: Final answer
    x = 5,151.81

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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.