
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 metallic weight has a mass of 35 kg and is an alloy of four metals. The quantity of the first metal in this alloy is 1.5 times the quantity 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 relates to the mass of the fourth metal as 5:6. Determine the mass of the fourth metal. Provide the answer in kilograms, rounded to two decimal places if necessary.

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