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Finding the Fourth Proportional to 6,068.38, 9,097.14 and 2,369.74

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Solution

The fourth proportional to 6,068.38, 9,097.14 and 2,369.74 is: 3,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.38 : 9,097.14 = 2,369.74 : x
  2. Step 2: Convert to fraction form
    6,068.38/9,097.14 = 2,369.74/x
  3. Step 3: Cross multiply
    6,068.38x = 9,097.14 × 2,369.74
  4. Step 4: Simplify right side
    6,068.38x = 21,557,856.54
  5. Step 5: Solve for x
    x = 21,557,856.54/6,068.38
  6. Step 6: Final answer
    x = 3,552.49

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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.