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Finding the Fourth Proportional to 13,765, 20,647.50 and 4,531.72

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Solution

The fourth proportional to 13,765, 20,647.50 and 4,531.72 is: 6,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765 : 20,647.50 = 4,531.72 : x
  2. Step 2: Convert to fraction form
    13,765/20,647.50 = 4,531.72/x
  3. Step 3: Cross multiply
    13,765x = 20,647.50 × 4,531.72
  4. Step 4: Simplify right side
    13,765x = 93,568,688.70
  5. Step 5: Solve for x
    x = 93,568,688.70/13,765
  6. Step 6: Final answer
    x = 6,797.58

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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.