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Fundamental Property Applications


Determination of the unknown term of a ratio

Examples:

  • Determine the value of x in proportion:


    Solution:

    5 x = 8. 15 (applying the fundamental property)
    5 x = 120
    x = 24
    Therefore, the value of x é 24.
  • Determine the value of x in proportion:

    Solution:

    5 (x-3) = 4. (2x + 1) (applying the fundamental property)
    5x - 15 = 8x + 4
    5x - 8x = 4 + 15
    -3x = 19
    3x = -19x =
    Therefore, the value of x é .
  • The numbers 5, 8, 35 and x, in that order, form a proportion. Determine the value of x.

    Solution:

    (applying the fundamental property)
    5 x = 8. 35
    5x = 280

    x = 56
    Therefore, the value of x é 56.

Problem solving involving proportions

Example:

  • In a saline of each cubic meter (m3) of salt water, 40 dm3 of salt To get 2 m3 salt, how many cubic meters of salt water are needed?
    Solution:
    The amount of salt removed is proportional to the volume of salt water. We indicate by x the amount of salt water to be determined and set the proportion:

    Remember that 40dm3 = 0.04m3.
    (applying the fundamental property)
    1 . 2 = 0.04. x
    0.04x = 2

    x = 50 m3
    So it takes 50 m3 of salt water.
Next: Proportional Fourth