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Finding the Fourth Proportional to 9,745.89, 13,449.15 and 5,968.46

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Solution

The fourth proportional to 9,745.89, 13,449.15 and 5,968.46 is: 8,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.89 : 13,449.15 = 5,968.46 : x
  2. Step 2: Convert to fraction form
    9,745.89/13,449.15 = 5,968.46/x
  3. Step 3: Cross multiply
    9,745.89x = 13,449.15 × 5,968.46
  4. Step 4: Simplify right side
    9,745.89x = 80,270,646.56
  5. Step 5: Solve for x
    x = 80,270,646.56/9,745.89
  6. Step 6: Final answer
    x = 8,236.36

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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.