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Comments on How can Cross Multiplication be intuited or pictured?

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How can Cross Multiplication be intuited or pictured? [closed]

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Closed as unclear by Peter Taylor‭ on Nov 27, 2021 at 20:58

This question cannot be answered in its current form, because critical information is missing.

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I already know, I'm NOT asking about, the algebra. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 riberries $\iff$ 3 pears/6 quinces = 2 riberries/4 tangelos.

I stumbled the picture below, but how does it proffer intuition?

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2 comment threads

What's the question? (2 comments)
I suspect you were wondered to see the $\frac{square}{star}=\frac{circle}{triangle}$ (1 comment)
I suspect you were wondered to see the $\frac{square}{star}=\frac{circle}{triangle}$
deleted user wrote almost 3 years ago

I think you were wondering if we can apply first picture's rule in the equation. I will say that we can. But at first you must worry about the ratio. If ratio of them aren't equal then you can't write $\frac{square}{star}=\frac{circle}{triangle}$. If ratios are equal then you can write it even following statement will be true either. $\text{triangle}\times\text {square} = \text{circle}\times \text{star}$