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Finding the Fourth Proportional to 6,138.02, 9,208.49 and 1,978.43

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Solution

The fourth proportional to 6,138.02, 9,208.49 and 1,978.43 is: 2,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.02 : 9,208.49 = 1,978.43 : x
  2. Step 2: Convert to fraction form
    6,138.02/9,208.49 = 1,978.43/x
  3. Step 3: Cross multiply
    6,138.02x = 9,208.49 × 1,978.43
  4. Step 4: Simplify right side
    6,138.02x = 18,218,296.94
  5. Step 5: Solve for x
    x = 18,218,296.94/6,138.02
  6. Step 6: Final answer
    x = 2,968.11

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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.