Building Credit
Protophore: Your problem may also be dependent on the size of your allowable credit (credit limit on your card).  If you have one major credit card, but your max credit line with that card is $5-10k you might have a problem.  If you can get your credit card to raise your limit to 20k you might have an easier time with your lease.  Alternatively you can open up another two credit cards each with a 10k limit to expand your available credit.