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Finding the Fourth Proportional to 6,950.64, 10,427.59 and 2,020.38

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Solution

The fourth proportional to 6,950.64, 10,427.59 and 2,020.38 is: 3,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.64 : 10,427.59 = 2,020.38 : x
  2. Step 2: Convert to fraction form
    6,950.64/10,427.59 = 2,020.38/x
  3. Step 3: Cross multiply
    6,950.64x = 10,427.59 × 2,020.38
  4. Step 4: Simplify right side
    6,950.64x = 21,067,646.34
  5. Step 5: Solve for x
    x = 21,067,646.34/6,950.64
  6. Step 6: Final answer
    x = 3,031.04

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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.