Subjects algebra

Adjust Total 7Befea

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1. **Stating the problem:** We need to redo calculations so that the total sum equals 9,800,000. 2. **Understanding the problem:** Suppose the original calculation was a sum of several figures. We want to adjust these figures so that their total is exactly 9,800,000. 3. **Formula used:** If the original total is $T_{original}$ and the new total is $T_{new} = 9,800,000$, then each figure $x_i$ can be scaled by a factor $k = \frac{T_{new}}{T_{original}}$. 4. **Applying the scaling factor:** For each original figure $x_i$, the new figure $x_i^{new} = k \times x_i$. 5. **Example:** If the original total was $T_{original} = 10,000,000$, then $$k = \frac{9,800,000}{10,000,000} = 0.98$$ Each figure is multiplied by 0.98 to get the new figures. 6. **Summary:** To get a total of 9,800,000, multiply each original figure by $k = \frac{9,800,000}{T_{original}}$. This method ensures the sum of the new figures is exactly 9,800,000.