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Finding the Fourth Proportional to 27,378.68, 41,067.66 and 6,602

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Solution

The fourth proportional to 27,378.68, 41,067.66 and 6,602 is: 9,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.68 : 41,067.66 = 6,602 : x
  2. Step 2: Convert to fraction form
    27,378.68/41,067.66 = 6,602/x
  3. Step 3: Cross multiply
    27,378.68x = 41,067.66 × 6,602
  4. Step 4: Simplify right side
    27,378.68x = 271,128,691.32
  5. Step 5: Solve for x
    x = 271,128,691.32/27,378.68
  6. Step 6: Final answer
    x = 9,902.91

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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.