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Finding the Fourth Proportional to 6,541.75, 9,807.16 and 3,034.26

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Solution

The fourth proportional to 6,541.75, 9,807.16 and 3,034.26 is: 4,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.75 : 9,807.16 = 3,034.26 : x
  2. Step 2: Convert to fraction form
    6,541.75/9,807.16 = 3,034.26/x
  3. Step 3: Cross multiply
    6,541.75x = 9,807.16 × 3,034.26
  4. Step 4: Simplify right side
    6,541.75x = 29,757,473.30
  5. Step 5: Solve for x
    x = 29,757,473.30/6,541.75
  6. Step 6: Final answer
    x = 4,548.86

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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.