Zhongyuan Ceramics Company entrusts a moving company to deliver 3,000 ceramic vases. The two parties sign a contract, and the shipping fee is 1.5 yuan each. If one breaks, this one not only does not count the freight, but also pays twice the price of each freight. As a result, the moving company got a total of 4468.5 yuan in shipping costs. How many ceramic vases were broken during the moving process?
中原陶瓷公司委托搬运公司运送3000个陶瓷花瓶，双方签订合同，每个运费是1.5元．如果打破一个，这一个不但不计运费，而且还要赔偿每个运费2倍的价钱．结果搬运公司共得运费4468.5元，问搬运过程中打破了几个陶瓷花瓶？
<gadget id="calculator">1.5 * 3_000</gadget>
<output>4_500</output>

<gadget id="calculator">4_500 - 4_468.5</gadget>
<output>31.5</output>

<gadget id="calculator">1.5 * 2</gadget>
<output>3</output>

<gadget id="calculator">1.5 + 3</gadget>
<output>4.5</output>

<gadget id="calculator">31.5 / 4.5</gadget>
<output>7</output>

<result>7</result>