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Finding the Fourth Proportional to 11,693.34, 17,540.25 and 3,902.22

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Solution

The fourth proportional to 11,693.34, 17,540.25 and 3,902.22 is: 5,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.34 : 17,540.25 = 3,902.22 : x
  2. Step 2: Convert to fraction form
    11,693.34/17,540.25 = 3,902.22/x
  3. Step 3: Cross multiply
    11,693.34x = 17,540.25 × 3,902.22
  4. Step 4: Simplify right side
    11,693.34x = 68,445,914.36
  5. Step 5: Solve for x
    x = 68,445,914.36/11,693.34
  6. Step 6: Final answer
    x = 5,853.41

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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.