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Finding the Fourth Proportional to 13,067, 18,032.49 and 7,098.54

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Solution

The fourth proportional to 13,067, 18,032.49 and 7,098.54 is: 9,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067 : 18,032.49 = 7,098.54 : x
  2. Step 2: Convert to fraction form
    13,067/18,032.49 = 7,098.54/x
  3. Step 3: Cross multiply
    13,067x = 18,032.49 × 7,098.54
  4. Step 4: Simplify right side
    13,067x = 128,004,351.56
  5. Step 5: Solve for x
    x = 128,004,351.56/13,067
  6. Step 6: Final answer
    x = 9,796.00

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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.