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Finding the Fourth Proportional to 8,157.39, 11,257.11 and 4,431.39

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Solution

The fourth proportional to 8,157.39, 11,257.11 and 4,431.39 is: 6,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.39 : 11,257.11 = 4,431.39 : x
  2. Step 2: Convert to fraction form
    8,157.39/11,257.11 = 4,431.39/x
  3. Step 3: Cross multiply
    8,157.39x = 11,257.11 × 4,431.39
  4. Step 4: Simplify right side
    8,157.39x = 49,884,644.68
  5. Step 5: Solve for x
    x = 49,884,644.68/8,157.39
  6. Step 6: Final answer
    x = 6,115.27

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Half scale
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Double 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.