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Finding the Fourth Proportional to 11,842.92, 17,661.44 and 11,684.03

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Solution

The fourth proportional to 11,842.92, 17,661.44 and 11,684.03 is: 17,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.92 : 17,661.44 = 11,684.03 : x
  2. Step 2: Convert to fraction form
    11,842.92/17,661.44 = 11,684.03/x
  3. Step 3: Cross multiply
    11,842.92x = 17,661.44 × 11,684.03
  4. Step 4: Simplify right side
    11,842.92x = 206,356,735.71
  5. Step 5: Solve for x
    x = 206,356,735.71/11,842.92
  6. Step 6: Final answer
    x = 17,424.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.