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Finding the Fourth Proportional to 6,659.54, 9,190.26 and 3,675.50

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Solution

The fourth proportional to 6,659.54, 9,190.26 and 3,675.50 is: 5,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.54 : 9,190.26 = 3,675.50 : x
  2. Step 2: Convert to fraction form
    6,659.54/9,190.26 = 3,675.50/x
  3. Step 3: Cross multiply
    6,659.54x = 9,190.26 × 3,675.50
  4. Step 4: Simplify right side
    6,659.54x = 33,778,800.63
  5. Step 5: Solve for x
    x = 33,778,800.63/6,659.54
  6. Step 6: Final answer
    x = 5,072.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.