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Finding the Fourth Proportional to 6,702, 9,248.67 and 3,717.81

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Solution

The fourth proportional to 6,702, 9,248.67 and 3,717.81 is: 5,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 9,248.67 = 3,717.81 : x
  2. Step 2: Convert to fraction form
    6,702/9,248.67 = 3,717.81/x
  3. Step 3: Cross multiply
    6,702x = 9,248.67 × 3,717.81
  4. Step 4: Simplify right side
    6,702x = 34,384,797.81
  5. Step 5: Solve for x
    x = 34,384,797.81/6,702
  6. Step 6: Final answer
    x = 5,130.53

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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.