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Finding the Fourth Proportional to 6,951.87, 10,428.82 and 2,020.87

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Solution

The fourth proportional to 6,951.87, 10,428.82 and 2,020.87 is: 3,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.87 : 10,428.82 = 2,020.87 : x
  2. Step 2: Convert to fraction form
    6,951.87/10,428.82 = 2,020.87/x
  3. Step 3: Cross multiply
    6,951.87x = 10,428.82 × 2,020.87
  4. Step 4: Simplify right side
    6,951.87x = 21,075,308.82
  5. Step 5: Solve for x
    x = 21,075,308.82/6,951.87
  6. Step 6: Final answer
    x = 3,031.60

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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.