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Finding the Fourth Proportional to 6,855.70, 10,282.24 and 3,342.17

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Solution

The fourth proportional to 6,855.70, 10,282.24 and 3,342.17 is: 5,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.70 : 10,282.24 = 3,342.17 : x
  2. Step 2: Convert to fraction form
    6,855.70/10,282.24 = 3,342.17/x
  3. Step 3: Cross multiply
    6,855.70x = 10,282.24 × 3,342.17
  4. Step 4: Simplify right side
    6,855.70x = 34,365,023.94
  5. Step 5: Solve for x
    x = 34,365,023.94/6,855.70
  6. Step 6: Final answer
    x = 5,012.62

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1.5x scale

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.