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Finding the Fourth Proportional to 6,950.75, 10,426.58 and 2,790.21

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Solution

The fourth proportional to 6,950.75, 10,426.58 and 2,790.21 is: 4,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.75 : 10,426.58 = 2,790.21 : x
  2. Step 2: Convert to fraction form
    6,950.75/10,426.58 = 2,790.21/x
  3. Step 3: Cross multiply
    6,950.75x = 10,426.58 × 2,790.21
  4. Step 4: Simplify right side
    6,950.75x = 29,092,347.78
  5. Step 5: Solve for x
    x = 29,092,347.78/6,950.75
  6. Step 6: Final answer
    x = 4,185.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.