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Finding the Fourth Proportional to 18,174.26, 27,248.63 and 7,071.59

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Solution

The fourth proportional to 18,174.26, 27,248.63 and 7,071.59 is: 10,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,174.26 : 27,248.63 = 7,071.59 : x
  2. Step 2: Convert to fraction form
    18,174.26/27,248.63 = 7,071.59/x
  3. Step 3: Cross multiply
    18,174.26x = 27,248.63 × 7,071.59
  4. Step 4: Simplify right side
    18,174.26x = 192,690,967.82
  5. Step 5: Solve for x
    x = 192,690,967.82/18,174.26
  6. Step 6: Final answer
    x = 10,602.41

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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.