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Finding the Fourth Proportional to 6,855.65, 10,282.17 and 3,342.13

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Solution

The fourth proportional to 6,855.65, 10,282.17 and 3,342.13 is: 5,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.65 : 10,282.17 = 3,342.13 : x
  2. Step 2: Convert to fraction form
    6,855.65/10,282.17 = 3,342.13/x
  3. Step 3: Cross multiply
    6,855.65x = 10,282.17 × 3,342.13
  4. Step 4: Simplify right side
    6,855.65x = 34,364,348.82
  5. Step 5: Solve for x
    x = 34,364,348.82/6,855.65
  6. Step 6: Final answer
    x = 5,012.56

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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.