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Finding the Fourth Proportional to 15,143.22, 20,896.92 and 9,174.51

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Solution

The fourth proportional to 15,143.22, 20,896.92 and 9,174.51 is: 12,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.22 : 20,896.92 = 9,174.51 : x
  2. Step 2: Convert to fraction form
    15,143.22/20,896.92 = 9,174.51/x
  3. Step 3: Cross multiply
    15,143.22x = 20,896.92 × 9,174.51
  4. Step 4: Simplify right side
    15,143.22x = 191,719,001.51
  5. Step 5: Solve for x
    x = 191,719,001.51/15,143.22
  6. Step 6: Final answer
    x = 12,660.39

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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.