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Finding the Fourth Proportional to 6,510.72, 9,769.56 and 3,048

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Solution

The fourth proportional to 6,510.72, 9,769.56 and 3,048 is: 4,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.72 : 9,769.56 = 3,048 : x
  2. Step 2: Convert to fraction form
    6,510.72/9,769.56 = 3,048/x
  3. Step 3: Cross multiply
    6,510.72x = 9,769.56 × 3,048
  4. Step 4: Simplify right side
    6,510.72x = 29,777,618.88
  5. Step 5: Solve for x
    x = 29,777,618.88/6,510.72
  6. Step 6: Final answer
    x = 4,573.63

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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.