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Finding the Fourth Proportional to 6,950.50, 10,425.82 and 1,756.38

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Solution

The fourth proportional to 6,950.50, 10,425.82 and 1,756.38 is: 2,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.50 : 10,425.82 = 1,756.38 : x
  2. Step 2: Convert to fraction form
    6,950.50/10,425.82 = 1,756.38/x
  3. Step 3: Cross multiply
    6,950.50x = 10,425.82 × 1,756.38
  4. Step 4: Simplify right side
    6,950.50x = 18,311,701.73
  5. Step 5: Solve for x
    x = 18,311,701.73/6,950.50
  6. Step 6: Final answer
    x = 2,634.59

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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.