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Finding the Fourth Proportional to 7,833.92, 11,745.28 and 3,671.64

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Solution

The fourth proportional to 7,833.92, 11,745.28 and 3,671.64 is: 5,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.92 : 11,745.28 = 3,671.64 : x
  2. Step 2: Convert to fraction form
    7,833.92/11,745.28 = 3,671.64/x
  3. Step 3: Cross multiply
    7,833.92x = 11,745.28 × 3,671.64
  4. Step 4: Simplify right side
    7,833.92x = 43,124,439.86
  5. Step 5: Solve for x
    x = 43,124,439.86/7,833.92
  6. Step 6: Final answer
    x = 5,504.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.