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Finding the Fourth Proportional to 6,340.16, 9,510.78 and 1,660.15

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Solution

The fourth proportional to 6,340.16, 9,510.78 and 1,660.15 is: 2,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.16 : 9,510.78 = 1,660.15 : x
  2. Step 2: Convert to fraction form
    6,340.16/9,510.78 = 1,660.15/x
  3. Step 3: Cross multiply
    6,340.16x = 9,510.78 × 1,660.15
  4. Step 4: Simplify right side
    6,340.16x = 15,789,321.42
  5. Step 5: Solve for x
    x = 15,789,321.42/6,340.16
  6. Step 6: Final answer
    x = 2,490.37

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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.