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Finding the Fourth Proportional to 6,440.18, 9,658.70 and 1,760.21

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Solution

The fourth proportional to 6,440.18, 9,658.70 and 1,760.21 is: 2,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.18 : 9,658.70 = 1,760.21 : x
  2. Step 2: Convert to fraction form
    6,440.18/9,658.70 = 1,760.21/x
  3. Step 3: Cross multiply
    6,440.18x = 9,658.70 × 1,760.21
  4. Step 4: Simplify right side
    6,440.18x = 17,001,283.23
  5. Step 5: Solve for x
    x = 17,001,283.23/6,440.18
  6. Step 6: Final answer
    x = 2,639.88

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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.