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Finding the Unknown Length in a Proportion

This proportion can be solved to find the unknown length, x, in the smaller triangle.

12 4

= 6 x

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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To solve the proportion (frac{12}{4} = frac{6}{x}), we can use cross-multiplication.

    1. Cross multiply: (12 cdot x = 4 cdot 6).
    2. Calculate the right side: (4 cdot 6 = 24).
    3. Now we have the equation: (12x = 24).
    4. To find (x), divide both sides by 12: (x = frac{24}{12}).
    5. Simplifying gives us: (x = 2).

    So, (x) is 2. This process uses the property of proportions, where the cross products are equal. Keep up the good work! If you have more questions or need further assistance, feel free to ask!

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