1. The problem is to multiply 4500 by 15. 2. Write the multiplication as $4500 \times 15$. 3. Multiply 4500 by 10: $4500 \times 10 = 45000$. 4. Multiply 4500 by 5: $4500 \times 5 = 22500$. 5. Add the two results: $45000 + 22500 = 67500$. 6. Therefore, the final answer is $67500$.