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Finding the Fourth Proportional to 9,107.62, 12,570.11 and 8,692.09

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Solution

The fourth proportional to 9,107.62, 12,570.11 and 8,692.09 is: 11,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.62 : 12,570.11 = 8,692.09 : x
  2. Step 2: Convert to fraction form
    9,107.62/12,570.11 = 8,692.09/x
  3. Step 3: Cross multiply
    9,107.62x = 12,570.11 × 8,692.09
  4. Step 4: Simplify right side
    9,107.62x = 109,260,527.43
  5. Step 5: Solve for x
    x = 109,260,527.43/9,107.62
  6. Step 6: Final answer
    x = 11,996.61

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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.