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Finding the Fourth Proportional to 6,802.88, 10,198.56 and 2,696

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Solution

The fourth proportional to 6,802.88, 10,198.56 and 2,696 is: 4,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.88 : 10,198.56 = 2,696 : x
  2. Step 2: Convert to fraction form
    6,802.88/10,198.56 = 2,696/x
  3. Step 3: Cross multiply
    6,802.88x = 10,198.56 × 2,696
  4. Step 4: Simplify right side
    6,802.88x = 27,495,317.76
  5. Step 5: Solve for x
    x = 27,495,317.76/6,802.88
  6. Step 6: Final answer
    x = 4,041.72

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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.