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Finding the Fourth Proportional to 6,510.92, 9,770.38 and 3,048.52

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Solution

The fourth proportional to 6,510.92, 9,770.38 and 3,048.52 is: 4,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.92 : 9,770.38 = 3,048.52 : x
  2. Step 2: Convert to fraction form
    6,510.92/9,770.38 = 3,048.52/x
  3. Step 3: Cross multiply
    6,510.92x = 9,770.38 × 3,048.52
  4. Step 4: Simplify right side
    6,510.92x = 29,785,198.84
  5. Step 5: Solve for x
    x = 29,785,198.84/6,510.92
  6. Step 6: Final answer
    x = 4,574.65

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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.