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Finding the Fourth Proportional to 8,033.63, 11,085.80 and 4,448.57

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Solution

The fourth proportional to 8,033.63, 11,085.80 and 4,448.57 is: 6,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.63 : 11,085.80 = 4,448.57 : x
  2. Step 2: Convert to fraction form
    8,033.63/11,085.80 = 4,448.57/x
  3. Step 3: Cross multiply
    8,033.63x = 11,085.80 × 4,448.57
  4. Step 4: Simplify right side
    8,033.63x = 49,315,879.63
  5. Step 5: Solve for x
    x = 49,315,879.63/8,033.63
  6. Step 6: Final answer
    x = 6,138.68

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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.