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Finding the Fourth Proportional to 8,229.39, 11,356.56 and 4,503.39

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Solution

The fourth proportional to 8,229.39, 11,356.56 and 4,503.39 is: 6,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.39 : 11,356.56 = 4,503.39 : x
  2. Step 2: Convert to fraction form
    8,229.39/11,356.56 = 4,503.39/x
  3. Step 3: Cross multiply
    8,229.39x = 11,356.56 × 4,503.39
  4. Step 4: Simplify right side
    8,229.39x = 51,143,018.74
  5. Step 5: Solve for x
    x = 51,143,018.74/8,229.39
  6. Step 6: Final answer
    x = 6,214.68

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Half scale
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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.