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Finding the Fourth Proportional to 6,801.51, 10,204.17 and 2,419.41

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Solution

The fourth proportional to 6,801.51, 10,204.17 and 2,419.41 is: 3,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.51 : 10,204.17 = 2,419.41 : x
  2. Step 2: Convert to fraction form
    6,801.51/10,204.17 = 2,419.41/x
  3. Step 3: Cross multiply
    6,801.51x = 10,204.17 × 2,419.41
  4. Step 4: Simplify right side
    6,801.51x = 24,688,070.94
  5. Step 5: Solve for x
    x = 24,688,070.94/6,801.51
  6. Step 6: Final answer
    x = 3,629.79

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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.