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Finding the Fourth Proportional to 9,267.82, 13,964.97 and 7,660.38

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Solution

The fourth proportional to 9,267.82, 13,964.97 and 7,660.38 is: 11,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.82 : 13,964.97 = 7,660.38 : x
  2. Step 2: Convert to fraction form
    9,267.82/13,964.97 = 7,660.38/x
  3. Step 3: Cross multiply
    9,267.82x = 13,964.97 × 7,660.38
  4. Step 4: Simplify right side
    9,267.82x = 106,976,953.25
  5. Step 5: Solve for x
    x = 106,976,953.25/9,267.82
  6. Step 6: Final answer
    x = 11,542.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.