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Finding the Fourth Proportional to 6,950.68, 10,427.66 and 2,020.44

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Solution

The fourth proportional to 6,950.68, 10,427.66 and 2,020.44 is: 3,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.68 : 10,427.66 = 2,020.44 : x
  2. Step 2: Convert to fraction form
    6,950.68/10,427.66 = 2,020.44/x
  3. Step 3: Cross multiply
    6,950.68x = 10,427.66 × 2,020.44
  4. Step 4: Simplify right side
    6,950.68x = 21,068,461.37
  5. Step 5: Solve for x
    x = 21,068,461.37/6,950.68
  6. Step 6: Final answer
    x = 3,031.14

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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.