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Finding the Fourth Proportional to 6,802.68, 10,203.96 and 2,185.68

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Solution

The fourth proportional to 6,802.68, 10,203.96 and 2,185.68 is: 3,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.68 : 10,203.96 = 2,185.68 : x
  2. Step 2: Convert to fraction form
    6,802.68/10,203.96 = 2,185.68/x
  3. Step 3: Cross multiply
    6,802.68x = 10,203.96 × 2,185.68
  4. Step 4: Simplify right side
    6,802.68x = 22,302,591.29
  5. Step 5: Solve for x
    x = 22,302,591.29/6,802.68
  6. Step 6: Final answer
    x = 3,278.50

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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.