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Finding the Fourth Proportional to 6,637.82, 9,954.50 and 3,348.81

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Solution

The fourth proportional to 6,637.82, 9,954.50 and 3,348.81 is: 5,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.82 : 9,954.50 = 3,348.81 : x
  2. Step 2: Convert to fraction form
    6,637.82/9,954.50 = 3,348.81/x
  3. Step 3: Cross multiply
    6,637.82x = 9,954.50 × 3,348.81
  4. Step 4: Simplify right side
    6,637.82x = 33,335,712.40
  5. Step 5: Solve for x
    x = 33,335,712.40/6,637.82
  6. Step 6: Final answer
    x = 5,022.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.