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Finding the Fourth Proportional to 6,197.56, 8,500.19 and 5,497.72

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Solution

The fourth proportional to 6,197.56, 8,500.19 and 5,497.72 is: 7,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.56 : 8,500.19 = 5,497.72 : x
  2. Step 2: Convert to fraction form
    6,197.56/8,500.19 = 5,497.72/x
  3. Step 3: Cross multiply
    6,197.56x = 8,500.19 × 5,497.72
  4. Step 4: Simplify right side
    6,197.56x = 46,731,664.57
  5. Step 5: Solve for x
    x = 46,731,664.57/6,197.56
  6. Step 6: Final answer
    x = 7,540.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.