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Finding the Fourth Proportional to 11,410.44, 15,745.38 and 6,374.22

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Solution

The fourth proportional to 11,410.44, 15,745.38 and 6,374.22 is: 8,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.44 : 15,745.38 = 6,374.22 : x
  2. Step 2: Convert to fraction form
    11,410.44/15,745.38 = 6,374.22/x
  3. Step 3: Cross multiply
    11,410.44x = 15,745.38 × 6,374.22
  4. Step 4: Simplify right side
    11,410.44x = 100,364,516.10
  5. Step 5: Solve for x
    x = 100,364,516.10/11,410.44
  6. Step 6: Final answer
    x = 8,795.85

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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.