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Question
which proportion could you use to convert 7,000 grams to kilograms?$\frac{1,000 \text{ grams}}{1 \text{ kilogram}} = \frac{7,000 \text{ grams}}{? \text{ kilograms}}$$\frac{1,000 \text{ grams}}{1 \text{ kilogram}} = \frac{? \text{ kilograms}}{7,000 \text{ grams}}$convert.7,000 grams = $square$ kilogramssubmit
Step1: Identify valid proportion
We use the proportion where the units align consistently:
$$\frac{1,000 \text{ grams}}{1 \text{ kilogram}} = \frac{7,000 \text{ grams}}{? \text{ kilograms}}$$
Step2: Solve for unknown kilograms
Rearrange to solve for the unknown:
$$? = \frac{7,000 \text{ grams} \times 1 \text{ kilogram}}{1,000 \text{ grams}}$$
Step3: Calculate the value
Simplify the expression:
$$? = 7 \text{ kilograms}$$
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Valid proportion: $\boldsymbol{\frac{1,000 \text{ grams}}{1 \text{ kilogram}} = \frac{7,000 \text{ grams}}{? \text{ kilograms}}}$
7,000 grams = $\boldsymbol{7}$ kilograms