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Finding the Fourth Proportional to 6,617.57, 9,927.88 and 1,937.47

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Solution

The fourth proportional to 6,617.57, 9,927.88 and 1,937.47 is: 2,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.57 : 9,927.88 = 1,937.47 : x
  2. Step 2: Convert to fraction form
    6,617.57/9,927.88 = 1,937.47/x
  3. Step 3: Cross multiply
    6,617.57x = 9,927.88 × 1,937.47
  4. Step 4: Simplify right side
    6,617.57x = 19,234,969.66
  5. Step 5: Solve for x
    x = 19,234,969.66/6,617.57
  6. Step 6: Final answer
    x = 2,906.65

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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.