The phrase "to tip the balance" means to cause a small change that has a big impact, often shifting a situation or outcome in one's favor. Full definition
But I think what tips the balance in favour of a fixed rate these days is that the price you pay for certainty is incredible low. (moneysense.ca)
In other words, a great deal is within your control, so don't forget to focus on the big picture, and continually make choices that keep tipping the balance toward protection. (health.com)
Is there anything we can do to help tip the balance back in bone's favour? (fullhealthsecrets.com)