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Finding the Fourth Proportional to 6,490.06, 9,736.31 and 3,027.31

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Solution

The fourth proportional to 6,490.06, 9,736.31 and 3,027.31 is: 4,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.06 : 9,736.31 = 3,027.31 : x
  2. Step 2: Convert to fraction form
    6,490.06/9,736.31 = 3,027.31/x
  3. Step 3: Cross multiply
    6,490.06x = 9,736.31 × 3,027.31
  4. Step 4: Simplify right side
    6,490.06x = 29,474,828.63
  5. Step 5: Solve for x
    x = 29,474,828.63/6,490.06
  6. Step 6: Final answer
    x = 4,541.53

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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.