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Finding the Fourth Proportional to 8,033.12, 11,085.22 and 4,447.94

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Solution

The fourth proportional to 8,033.12, 11,085.22 and 4,447.94 is: 6,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.12 : 11,085.22 = 4,447.94 : x
  2. Step 2: Convert to fraction form
    8,033.12/11,085.22 = 4,447.94/x
  3. Step 3: Cross multiply
    8,033.12x = 11,085.22 × 4,447.94
  4. Step 4: Simplify right side
    8,033.12x = 49,306,393.45
  5. Step 5: Solve for x
    x = 49,306,393.45/8,033.12
  6. Step 6: Final answer
    x = 6,137.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.