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Finding the Fourth Proportional to 6,765, 10,150.54 and 4,299.18

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Solution

The fourth proportional to 6,765, 10,150.54 and 4,299.18 is: 6,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 10,150.54 = 4,299.18 : x
  2. Step 2: Convert to fraction form
    6,765/10,150.54 = 4,299.18/x
  3. Step 3: Cross multiply
    6,765x = 10,150.54 × 4,299.18
  4. Step 4: Simplify right side
    6,765x = 43,638,998.56
  5. Step 5: Solve for x
    x = 43,638,998.56/6,765
  6. Step 6: Final answer
    x = 6,450.70

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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.