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Finding the Fourth Proportional to 6,510.14, 9,766.91 and 1,830.17

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Solution

The fourth proportional to 6,510.14, 9,766.91 and 1,830.17 is: 2,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.14 : 9,766.91 = 1,830.17 : x
  2. Step 2: Convert to fraction form
    6,510.14/9,766.91 = 1,830.17/x
  3. Step 3: Cross multiply
    6,510.14x = 9,766.91 × 1,830.17
  4. Step 4: Simplify right side
    6,510.14x = 17,875,105.67
  5. Step 5: Solve for x
    x = 17,875,105.67/6,510.14
  6. Step 6: Final answer
    x = 2,745.73

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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.