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Finding the Fourth Proportional to 6,566.13, 9,849.19 and 1,949.13

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Solution

The fourth proportional to 6,566.13, 9,849.19 and 1,949.13 is: 2,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.13 : 9,849.19 = 1,949.13 : x
  2. Step 2: Convert to fraction form
    6,566.13/9,849.19 = 1,949.13/x
  3. Step 3: Cross multiply
    6,566.13x = 9,849.19 × 1,949.13
  4. Step 4: Simplify right side
    6,566.13x = 19,197,351.70
  5. Step 5: Solve for x
    x = 19,197,351.70/6,566.13
  6. Step 6: Final answer
    x = 2,923.69

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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.