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To solve this balancing scale puzzle, we need to observe the shapes on both sides of the scale and determine the correct option that balances the given arrangement.

### Analyzing the initial balance (top scale):
- **Left side**: One hexagon, one triangle, and four stars.
- **Right side**: One hexagon, one triangle, and one square.

From this, we conclude that:
- The weights of the hexagon, triangle, and stars on the left must balance with the weights of the hexagon, triangle, and square on the right.
- Therefore, the square must be equivalent to the four stars because the hexagon and triangle on both sides cancel each other out.

### Analyzing the second scale (bottom scale):
- **Left side**: One hexagon and four stars.
- **Right side**: We need to determine what should go here to balance the scale.

Since we know from the top scale that **four stars are equivalent to a square**, we conclude that the weight of the left side (hexagon and four stars) is the same as the combined weight of a **hexagon and square**.

### Finding the correct option:
- The required option should include a **hexagon and a square**. Looking at the given options, **option 4** has one hexagon and one square, which matches what we need to balance the scale.

### Answer:
The correct option is **Option 4**.

Would you like further clarification or details on this? Here are some related questions you might find useful:

1. What mathematical principles can be used to solve balance scale puzzles?
2. How can the concept of equivalence be applied in other types of puzzles?
3. Can balance puzzles be solved using algebraic equations?
4. How do we approach puzzles with multiple variables in logic puzzles?
5. What are the best strategies for solving puzzles involving balance and weight?

**Tip**: In balance puzzles, always look for pairs or shapes that appear on both sides of the scale to help cancel out terms and simplify the problem.

Which option will balance the weighing scale?

This weighing scale puzzle involves balancing various shapes. Using logic and the principle of equivalence, the puzzle asks which set of shapes will balance the given arrangement. Suitable for students in Grades 6-8.

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