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Finding the Fourth Proportional to 22,309.71, 33,467.65 and 7,522.86

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Solution

The fourth proportional to 22,309.71, 33,467.65 and 7,522.86 is: 11,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.71 : 33,467.65 = 7,522.86 : x
  2. Step 2: Convert to fraction form
    22,309.71/33,467.65 = 7,522.86/x
  3. Step 3: Cross multiply
    22,309.71x = 33,467.65 × 7,522.86
  4. Step 4: Simplify right side
    22,309.71x = 251,772,445.48
  5. Step 5: Solve for x
    x = 251,772,445.48/22,309.71
  6. Step 6: Final answer
    x = 11,285.33

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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.