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Finding the Fourth Proportional to 11,749.71, 17,601.06 and 7,067.13

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Solution

The fourth proportional to 11,749.71, 17,601.06 and 7,067.13 is: 10,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.71 : 17,601.06 = 7,067.13 : x
  2. Step 2: Convert to fraction form
    11,749.71/17,601.06 = 7,067.13/x
  3. Step 3: Cross multiply
    11,749.71x = 17,601.06 × 7,067.13
  4. Step 4: Simplify right side
    11,749.71x = 124,389,038.66
  5. Step 5: Solve for x
    x = 124,389,038.66/11,749.71
  6. Step 6: Final answer
    x = 10,586.56

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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.