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Finding the Fourth Proportional to 22,409.64, 33,619.34 and 6,826.86

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Solution

The fourth proportional to 22,409.64, 33,619.34 and 6,826.86 is: 10,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.64 : 33,619.34 = 6,826.86 : x
  2. Step 2: Convert to fraction form
    22,409.64/33,619.34 = 6,826.86/x
  3. Step 3: Cross multiply
    22,409.64x = 33,619.34 × 6,826.86
  4. Step 4: Simplify right side
    22,409.64x = 229,514,527.47
  5. Step 5: Solve for x
    x = 229,514,527.47/22,409.64
  6. Step 6: Final answer
    x = 10,241.78

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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.