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Finding the Fourth Proportional to 8,494.62, 11,723.16 and 5,137.57

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Solution

The fourth proportional to 8,494.62, 11,723.16 and 5,137.57 is: 7,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.62 : 11,723.16 = 5,137.57 : x
  2. Step 2: Convert to fraction form
    8,494.62/11,723.16 = 5,137.57/x
  3. Step 3: Cross multiply
    8,494.62x = 11,723.16 × 5,137.57
  4. Step 4: Simplify right side
    8,494.62x = 60,228,555.12
  5. Step 5: Solve for x
    x = 60,228,555.12/8,494.62
  6. Step 6: Final answer
    x = 7,090.20

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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.