How did the death of the Gracchus Brothers lead to the fall of the Roman Republic?

I am writing an essay on why the death of the gracchus brothers led to the fall of the roman republic and i need some help. Any evidence on why this event was more critical than the Punic Wars, the Social War, and the failed consulate of Cicero would be awesome. Thanks

The Gracchi brothers, while championing causes for the common people, were themselves members of the highest Patrician order of Rome. Their father was a consul and their mother was of the distinguished Scipio family.

The legacy of the Gracchi brothers was one of social upheaval and the eventual disintegration of the Roman political and governing system. Their violent deaths were the first of many more political riots and executions to come over the next 100 years. Traditional powers of the Senate and the people were being torn apart, rebuilt and torn apart again. Ambitious politicians now had many new ways to exploit a system teetering on collapse and powerful men and political parties began to develop in extreme polar opposites. The voice of violence, riots and mob tactics was quickly to become the mainstay throughout the perilous era in Roman history. The Senate even, once steadfast in cooperation against the Tribunes of the Plebes, now even began to splinter off against one another. With the fast rise and fall of the Brothers Gracchi, the stage was set for the rise of Marius, Sulla, Pompey and the eventual last dictator, Gaius Julius Caesar.