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Finding the Fourth Proportional to 9,906.75, 13,671.32 and 5,928.44

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Solution

The fourth proportional to 9,906.75, 13,671.32 and 5,928.44 is: 8,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.75 : 13,671.32 = 5,928.44 : x
  2. Step 2: Convert to fraction form
    9,906.75/13,671.32 = 5,928.44/x
  3. Step 3: Cross multiply
    9,906.75x = 13,671.32 × 5,928.44
  4. Step 4: Simplify right side
    9,906.75x = 81,049,502.34
  5. Step 5: Solve for x
    x = 81,049,502.34/9,906.75
  6. Step 6: Final answer
    x = 8,181.24

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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.