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Finding the Fourth Proportional to 6,802.56, 10,206.11 and 2,642.70

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Solution

The fourth proportional to 6,802.56, 10,206.11 and 2,642.70 is: 3,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.56 : 10,206.11 = 2,642.70 : x
  2. Step 2: Convert to fraction form
    6,802.56/10,206.11 = 2,642.70/x
  3. Step 3: Cross multiply
    6,802.56x = 10,206.11 × 2,642.70
  4. Step 4: Simplify right side
    6,802.56x = 26,971,721.87
  5. Step 5: Solve for x
    x = 26,971,721.87/6,802.56
  6. Step 6: Final answer
    x = 3,964.94

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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.