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Finding the Fourth Proportional to 6,951.88, 10,426.74 and 2,020.50

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Solution

The fourth proportional to 6,951.88, 10,426.74 and 2,020.50 is: 3,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.88 : 10,426.74 = 2,020.50 : x
  2. Step 2: Convert to fraction form
    6,951.88/10,426.74 = 2,020.50/x
  3. Step 3: Cross multiply
    6,951.88x = 10,426.74 × 2,020.50
  4. Step 4: Simplify right side
    6,951.88x = 21,067,228.17
  5. Step 5: Solve for x
    x = 21,067,228.17/6,951.88
  6. Step 6: Final answer
    x = 3,030.44

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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.