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Finding the Fourth Proportional to 6,523.50, 9,785.26 and 1,906.50

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Solution

The fourth proportional to 6,523.50, 9,785.26 and 1,906.50 is: 2,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.50 : 9,785.26 = 1,906.50 : x
  2. Step 2: Convert to fraction form
    6,523.50/9,785.26 = 1,906.50/x
  3. Step 3: Cross multiply
    6,523.50x = 9,785.26 × 1,906.50
  4. Step 4: Simplify right side
    6,523.50x = 18,655,598.19
  5. Step 5: Solve for x
    x = 18,655,598.19/6,523.50
  6. Step 6: Final answer
    x = 2,859.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.