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4.1 Using Proportional Reasoning

4.1 Using Proportional Reasoning. Objectives: Identify the means and extremes of a proportion. Use proportions to solve problems. Standards Addressed: 2.1.8.D: Apply ratio and proportion to mathematical problems. 2.10.8.A: Compute measures of sides using proportions. Ex. 1. Ex. 2.

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4.1 Using Proportional Reasoning

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  1. 4.1 Using Proportional Reasoning Objectives: Identify the means and extremes of a proportion. Use proportions to solve problems. Standards Addressed: 2.1.8.D: Apply ratio and proportion to mathematical problems. 2.10.8.A: Compute measures of sides using proportions.

  2. Ex. 1

  3. Ex. 2

  4. You can use cross products to find the value of the variable that makes a true proportion.

  5. Ex. 3a.

  6. Ex. 3b. 5/3 = 12/ n 36 = 5n 36/5 = 5n/5 N = 7.2

  7. Ex. 4a. The goal of Bartlesville City Library is to have 2 books in stock for every 5 residents. The most recent census shows that the population is 12,455. Find the total number of books that the library should have in order to meet the goal. 2 5 N 12, 455 = 5n = 24, 910 N = 4982

  8. b. Jenny hiked 14 miles in 3 hours. If she continues to hike at this pace, how long will it take her to hike 35 miles? 105 = 14 H H = 7.5 14 miles 3 hours 35 miles ? hours =

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