
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The line \(y = c - x\) with \(0 < c < 6\) intersects the \(y\)-axis at point \(P\) and the line \(x = 6\) at point \(S\). If the ratio of the area of triangle \(QRS\) to the area of triangle \(QOP\) is 4:16, what is the value of \(c\)? Express the answer as a decimal to the nearest tenth.

Present the answer in LaTex format: \boxed{Your answer}
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