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Finding the Fourth Proportional to 6,430.68, 9,648.09 and 2,736

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Solution

The fourth proportional to 6,430.68, 9,648.09 and 2,736 is: 4,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.68 : 9,648.09 = 2,736 : x
  2. Step 2: Convert to fraction form
    6,430.68/9,648.09 = 2,736/x
  3. Step 3: Cross multiply
    6,430.68x = 9,648.09 × 2,736
  4. Step 4: Simplify right side
    6,430.68x = 26,397,174.24
  5. Step 5: Solve for x
    x = 26,397,174.24/6,430.68
  6. Step 6: Final answer
    x = 4,104.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.