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Finding the Fourth Proportional to 6,949.71, 10,424.52 and 2,332.71

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Solution

The fourth proportional to 6,949.71, 10,424.52 and 2,332.71 is: 3,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.71 : 10,424.52 = 2,332.71 : x
  2. Step 2: Convert to fraction form
    6,949.71/10,424.52 = 2,332.71/x
  3. Step 3: Cross multiply
    6,949.71x = 10,424.52 × 2,332.71
  4. Step 4: Simplify right side
    6,949.71x = 24,317,382.05
  5. Step 5: Solve for x
    x = 24,317,382.05/6,949.71
  6. Step 6: Final answer
    x = 3,499.05

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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.