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Finding the Fourth Proportional to 6,950.87, 10,415.98 and 3,653.97

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Solution

The fourth proportional to 6,950.87, 10,415.98 and 3,653.97 is: 5,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.87 : 10,415.98 = 3,653.97 : x
  2. Step 2: Convert to fraction form
    6,950.87/10,415.98 = 3,653.97/x
  3. Step 3: Cross multiply
    6,950.87x = 10,415.98 × 3,653.97
  4. Step 4: Simplify right side
    6,950.87x = 38,059,643.95
  5. Step 5: Solve for x
    x = 38,059,643.95/6,950.87
  6. Step 6: Final answer
    x = 5,475.52

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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.