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Finding the Fourth Proportional to 17,984, 26,976 and 6,294.44

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Solution

The fourth proportional to 17,984, 26,976 and 6,294.44 is: 9,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984 : 26,976 = 6,294.44 : x
  2. Step 2: Convert to fraction form
    17,984/26,976 = 6,294.44/x
  3. Step 3: Cross multiply
    17,984x = 26,976 × 6,294.44
  4. Step 4: Simplify right side
    17,984x = 169,798,813.44
  5. Step 5: Solve for x
    x = 169,798,813.44/17,984
  6. Step 6: Final answer
    x = 9,441.66

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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.