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Finding the Fourth Proportional to 7,269, 10,904.91 and 2,338.71

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Solution

The fourth proportional to 7,269, 10,904.91 and 2,338.71 is: 3,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269 : 10,904.91 = 2,338.71 : x
  2. Step 2: Convert to fraction form
    7,269/10,904.91 = 2,338.71/x
  3. Step 3: Cross multiply
    7,269x = 10,904.91 × 2,338.71
  4. Step 4: Simplify right side
    7,269x = 25,503,422.07
  5. Step 5: Solve for x
    x = 25,503,422.07/7,269
  6. Step 6: Final answer
    x = 3,508.52

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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.