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Finding the Fourth Proportional to 10,297.50, 15,446.39 and 3,372

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Solution

The fourth proportional to 10,297.50, 15,446.39 and 3,372 is: 5,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.50 : 15,446.39 = 3,372 : x
  2. Step 2: Convert to fraction form
    10,297.50/15,446.39 = 3,372/x
  3. Step 3: Cross multiply
    10,297.50x = 15,446.39 × 3,372
  4. Step 4: Simplify right side
    10,297.50x = 52,085,227.08
  5. Step 5: Solve for x
    x = 52,085,227.08/10,297.50
  6. Step 6: Final answer
    x = 5,058.05

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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.