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Finding the Fourth Proportional to 8,500.22, 11,729.94 and 4,723.64

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Solution

The fourth proportional to 8,500.22, 11,729.94 and 4,723.64 is: 6,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.22 : 11,729.94 = 4,723.64 : x
  2. Step 2: Convert to fraction form
    8,500.22/11,729.94 = 4,723.64/x
  3. Step 3: Cross multiply
    8,500.22x = 11,729.94 × 4,723.64
  4. Step 4: Simplify right side
    8,500.22x = 55,408,013.78
  5. Step 5: Solve for x
    x = 55,408,013.78/8,500.22
  6. Step 6: Final answer
    x = 6,518.42

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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.