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Finding the Fourth Proportional to 6,745.67, 9,309.06 and 3,761.63

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Solution

The fourth proportional to 6,745.67, 9,309.06 and 3,761.63 is: 5,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.67 : 9,309.06 = 3,761.63 : x
  2. Step 2: Convert to fraction form
    6,745.67/9,309.06 = 3,761.63/x
  3. Step 3: Cross multiply
    6,745.67x = 9,309.06 × 3,761.63
  4. Step 4: Simplify right side
    6,745.67x = 35,017,239.37
  5. Step 5: Solve for x
    x = 35,017,239.37/6,745.67
  6. Step 6: Final answer
    x = 5,191.07

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1.5x scale

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.