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Finding the Fourth Proportional to 9,107.64, 13,667.12 and 8,231.20

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Solution

The fourth proportional to 9,107.64, 13,667.12 and 8,231.20 is: 12,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.64 : 13,667.12 = 8,231.20 : x
  2. Step 2: Convert to fraction form
    9,107.64/13,667.12 = 8,231.20/x
  3. Step 3: Cross multiply
    9,107.64x = 13,667.12 × 8,231.20
  4. Step 4: Simplify right side
    9,107.64x = 112,496,798.14
  5. Step 5: Solve for x
    x = 112,496,798.14/9,107.64
  6. Step 6: Final answer
    x = 12,351.92

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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.