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Finding the Fourth Proportional to 22,578.24, 33,866.88 and 6,162.24

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Solution

The fourth proportional to 22,578.24, 33,866.88 and 6,162.24 is: 9,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.24 : 33,866.88 = 6,162.24 : x
  2. Step 2: Convert to fraction form
    22,578.24/33,866.88 = 6,162.24/x
  3. Step 3: Cross multiply
    22,578.24x = 33,866.88 × 6,162.24
  4. Step 4: Simplify right side
    22,578.24x = 208,695,842.61
  5. Step 5: Solve for x
    x = 208,695,842.61/22,578.24
  6. Step 6: Final answer
    x = 9,243.23

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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.