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Finding the Fourth Proportional to 9,107.44, 13,676.34 and 8,425.52

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Solution

The fourth proportional to 9,107.44, 13,676.34 and 8,425.52 is: 12,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 13,676.34 = 8,425.52 : x
  2. Step 2: Convert to fraction form
    9,107.44/13,676.34 = 8,425.52/x
  3. Step 3: Cross multiply
    9,107.44x = 13,676.34 × 8,425.52
  4. Step 4: Simplify right side
    9,107.44x = 115,230,290.70
  5. Step 5: Solve for x
    x = 115,230,290.70/9,107.44
  6. Step 6: Final answer
    x = 12,652.33

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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.