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Finding the Fourth Proportional to 6,950.25, 10,423.74 and 2,269.05

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Solution

The fourth proportional to 6,950.25, 10,423.74 and 2,269.05 is: 3,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.25 : 10,423.74 = 2,269.05 : x
  2. Step 2: Convert to fraction form
    6,950.25/10,423.74 = 2,269.05/x
  3. Step 3: Cross multiply
    6,950.25x = 10,423.74 × 2,269.05
  4. Step 4: Simplify right side
    6,950.25x = 23,651,975.90
  5. Step 5: Solve for x
    x = 23,651,975.90/6,950.25
  6. Step 6: Final answer
    x = 3,403.04

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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.