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Finding the Fourth Proportional to 6,894.01, 10,334.53 and 3,609.26

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Solution

The fourth proportional to 6,894.01, 10,334.53 and 3,609.26 is: 5,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.01 : 10,334.53 = 3,609.26 : x
  2. Step 2: Convert to fraction form
    6,894.01/10,334.53 = 3,609.26/x
  3. Step 3: Cross multiply
    6,894.01x = 10,334.53 × 3,609.26
  4. Step 4: Simplify right side
    6,894.01x = 37,299,936.03
  5. Step 5: Solve for x
    x = 37,299,936.03/6,894.01
  6. Step 6: Final answer
    x = 5,410.49

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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.