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Finding the Fourth Proportional to 6,950.93, 10,426.52 and 2,270.95

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Solution

The fourth proportional to 6,950.93, 10,426.52 and 2,270.95 is: 3,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.93 : 10,426.52 = 2,270.95 : x
  2. Step 2: Convert to fraction form
    6,950.93/10,426.52 = 2,270.95/x
  3. Step 3: Cross multiply
    6,950.93x = 10,426.52 × 2,270.95
  4. Step 4: Simplify right side
    6,950.93x = 23,678,085.21
  5. Step 5: Solve for x
    x = 23,678,085.21/6,950.93
  6. Step 6: Final answer
    x = 3,406.47

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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.