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Finding the Fourth Proportional to 6,141.78, 9,165.60 and 5,485.68

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Solution

The fourth proportional to 6,141.78, 9,165.60 and 5,485.68 is: 8,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.78 : 9,165.60 = 5,485.68 : x
  2. Step 2: Convert to fraction form
    6,141.78/9,165.60 = 5,485.68/x
  3. Step 3: Cross multiply
    6,141.78x = 9,165.60 × 5,485.68
  4. Step 4: Simplify right side
    6,141.78x = 50,279,548.61
  5. Step 5: Solve for x
    x = 50,279,548.61/6,141.78
  6. Step 6: Final answer
    x = 8,186.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.