Fill in the missing numbers for the ratios that are proportional - Problem Solving with Proportional Reasoning

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Example 7 Fill in the missing numbers for the following ratios that are proportional to 14 : 21. ______ : 42   6 : ______    2 : ______ We can write this as 𝟏𝟒/𝟐𝟏 = "⎕" /𝟒𝟐 14 × 42 = "⎕" × 21 (14 × 42)/21 = "⎕" "⎕" = (14 × 42)/21 "⎕" = 14 × 2 "⎕" = 28 So, ratio is 28 : 42 𝟏𝟒/𝟐𝟏 = 𝟔/"⎕" 14 × "⎕" = 6 × 21 "⎕" = (6 × 21)/14 "⎕" = (3 × 21)/7 "⎕" = 3 × 3 "⎕" = 9 So, ratio is 6 : 9 𝟏𝟒/𝟐𝟏 = 𝟐/"⎕" 14 × "⎕" = 2 × 21 "⎕" = (2 × 21)/14 "⎕" = (1 × 21)/7 "⎕" = 3 So, ratio is 2 : 3

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CA Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 16 years. He also provides Accounts Tax GST Training in Delhi, Kerala and online.