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Finding the Fourth Proportional to 22,573.64, 33,863.42 and 7,778.58

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Solution

The fourth proportional to 22,573.64, 33,863.42 and 7,778.58 is: 11,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.64 : 33,863.42 = 7,778.58 : x
  2. Step 2: Convert to fraction form
    22,573.64/33,863.42 = 7,778.58/x
  3. Step 3: Cross multiply
    22,573.64x = 33,863.42 × 7,778.58
  4. Step 4: Simplify right side
    22,573.64x = 263,409,321.54
  5. Step 5: Solve for x
    x = 263,409,321.54/22,573.64
  6. Step 6: Final answer
    x = 11,668.89

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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.