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Each increase by one magnitude corresponds to a release of energy 31.6 times that released by the lesser earthquake.

Since 7 is 3 magnitudes higher than 4, the magnitude 4 earthquake has roughly 1/31554th the energy of the magnitude 7.

Each increase by one magnitude corresponds to a release of shaking amplitude 10 times that released by the lesser earthquake.

Since 7 is 3 magnitudes higher than 4, the magnitude 4 earthquake has 1/1000th the shaking amplitude of the magnitude 7.

The amount of energy changes much more rapidly with magnitude than the amount of shaking amplitude. This is a commonly made error.

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7y ago
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7y ago

An earthquake with magnitude 4 has energy as shown below :

E4/E7 = 10^4/10^7 = 10^-3 = 0.001

E4 = ( 0.001 ) ( E7 )

A magnitude 4 earthquake has 1000th of the energy of a magnitude 7 earthquake.

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Q: How much less energy does a magnitude 4 earthquake have than a magnitude 7?
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