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Finding the Fourth Proportional to 22,407.64, 33,616.34 and 6,824.86

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Solution

The fourth proportional to 22,407.64, 33,616.34 and 6,824.86 is: 10,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.64 : 33,616.34 = 6,824.86 : x
  2. Step 2: Convert to fraction form
    22,407.64/33,616.34 = 6,824.86/x
  3. Step 3: Cross multiply
    22,407.64x = 33,616.34 × 6,824.86
  4. Step 4: Simplify right side
    22,407.64x = 229,426,814.21
  5. Step 5: Solve for x
    x = 229,426,814.21/22,407.64
  6. Step 6: Final answer
    x = 10,238.78

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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.