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Finding the Fourth Proportional to 17,493.25, 26,248.92 and 6,961

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Solution

The fourth proportional to 17,493.25, 26,248.92 and 6,961 is: 10,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.25 : 26,248.92 = 6,961 : x
  2. Step 2: Convert to fraction form
    17,493.25/26,248.92 = 6,961/x
  3. Step 3: Cross multiply
    17,493.25x = 26,248.92 × 6,961
  4. Step 4: Simplify right side
    17,493.25x = 182,718,732.12
  5. Step 5: Solve for x
    x = 182,718,732.12/17,493.25
  6. Step 6: Final answer
    x = 10,445.10

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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.