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Finding the Fourth Proportional to 18,539.24, 27,809 and 6,227.24

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Solution

The fourth proportional to 18,539.24, 27,809 and 6,227.24 is: 9,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.24 : 27,809 = 6,227.24 : x
  2. Step 2: Convert to fraction form
    18,539.24/27,809 = 6,227.24/x
  3. Step 3: Cross multiply
    18,539.24x = 27,809 × 6,227.24
  4. Step 4: Simplify right side
    18,539.24x = 173,173,317.16
  5. Step 5: Solve for x
    x = 173,173,317.16/18,539.24
  6. Step 6: Final answer
    x = 9,340.91

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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.