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Finding the Fourth Proportional to 22,447.36, 33,668.80 and 6,865.12

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Solution

The fourth proportional to 22,447.36, 33,668.80 and 6,865.12 is: 10,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.36 : 33,668.80 = 6,865.12 : x
  2. Step 2: Convert to fraction form
    22,447.36/33,668.80 = 6,865.12/x
  3. Step 3: Cross multiply
    22,447.36x = 33,668.80 × 6,865.12
  4. Step 4: Simplify right side
    22,447.36x = 231,140,352.26
  5. Step 5: Solve for x
    x = 231,140,352.26/22,447.36
  6. Step 6: Final answer
    x = 10,296.99

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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.