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Finding the Fourth Proportional to 6,745.83, 9,300.98 and 5,546.63

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Solution

The fourth proportional to 6,745.83, 9,300.98 and 5,546.63 is: 7,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.83 : 9,300.98 = 5,546.63 : x
  2. Step 2: Convert to fraction form
    6,745.83/9,300.98 = 5,546.63/x
  3. Step 3: Cross multiply
    6,745.83x = 9,300.98 × 5,546.63
  4. Step 4: Simplify right side
    6,745.83x = 51,589,020.46
  5. Step 5: Solve for x
    x = 51,589,020.46/6,745.83
  6. Step 6: Final answer
    x = 7,647.54

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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.