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Finding the Fourth Proportional to 6,261.51, 9,401.49 and 3,493.59

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Solution

The fourth proportional to 6,261.51, 9,401.49 and 3,493.59 is: 5,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.51 : 9,401.49 = 3,493.59 : x
  2. Step 2: Convert to fraction form
    6,261.51/9,401.49 = 3,493.59/x
  3. Step 3: Cross multiply
    6,261.51x = 9,401.49 × 3,493.59
  4. Step 4: Simplify right side
    6,261.51x = 32,844,951.45
  5. Step 5: Solve for x
    x = 32,844,951.45/6,261.51
  6. Step 6: Final answer
    x = 5,245.53

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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.