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Finding the Fourth Proportional to 22,536.07, 33,804.88 and 7,744.86

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Solution

The fourth proportional to 22,536.07, 33,804.88 and 7,744.86 is: 11,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.07 : 33,804.88 = 7,744.86 : x
  2. Step 2: Convert to fraction form
    22,536.07/33,804.88 = 7,744.86/x
  3. Step 3: Cross multiply
    22,536.07x = 33,804.88 × 7,744.86
  4. Step 4: Simplify right side
    22,536.07x = 261,814,043.55
  5. Step 5: Solve for x
    x = 261,814,043.55/22,536.07
  6. Step 6: Final answer
    x = 11,617.56

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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.