
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
A metal weight has a mass of 25 kg and is an alloy of four metals. The amount of the first metal in this alloy is one and a half times that of the second metal, the mass of the second metal relates to the mass of the third metal as $3: 4$, and the mass of the third metal to the mass of the fourth metal is in the ratio $5: 6$. Determine the mass of the third metal. Give your answer in kilograms, rounding to two decimal places if necessary.

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