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Finding the Fourth Proportional to 8,709, 13,063.50 and 3,845

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Solution

The fourth proportional to 8,709, 13,063.50 and 3,845 is: 5,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709 : 13,063.50 = 3,845 : x
  2. Step 2: Convert to fraction form
    8,709/13,063.50 = 3,845/x
  3. Step 3: Cross multiply
    8,709x = 13,063.50 × 3,845
  4. Step 4: Simplify right side
    8,709x = 50,229,157.50
  5. Step 5: Solve for x
    x = 50,229,157.50/8,709
  6. Step 6: Final answer
    x = 5,767.50

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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.