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Finding the Fourth Proportional to 27,833.32, 41,745.94 and 9,114.10

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Solution

The fourth proportional to 27,833.32, 41,745.94 and 9,114.10 is: 13,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.32 : 41,745.94 = 9,114.10 : x
  2. Step 2: Convert to fraction form
    27,833.32/41,745.94 = 9,114.10/x
  3. Step 3: Cross multiply
    27,833.32x = 41,745.94 × 9,114.10
  4. Step 4: Simplify right side
    27,833.32x = 380,476,671.75
  5. Step 5: Solve for x
    x = 380,476,671.75/27,833.32
  6. Step 6: Final answer
    x = 13,669.83

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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.