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Finding the Fourth Proportional to 9,206.65, 13,825.77 and 8,791.12

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Solution

The fourth proportional to 9,206.65, 13,825.77 and 8,791.12 is: 13,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.65 : 13,825.77 = 8,791.12 : x
  2. Step 2: Convert to fraction form
    9,206.65/13,825.77 = 8,791.12/x
  3. Step 3: Cross multiply
    9,206.65x = 13,825.77 × 8,791.12
  4. Step 4: Simplify right side
    9,206.65x = 121,544,003.16
  5. Step 5: Solve for x
    x = 121,544,003.16/9,206.65
  6. Step 6: Final answer
    x = 13,201.76

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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.