Finding the Fourth Proportional to 7,442, 11,163 and 1,970
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Solution
The fourth proportional to 7,442, 11,163 and 1,970 is: 2,955
Step by Step Solution
- Step 1: Write the proportion equation
7,442 : 11,163 = 1,970 : x - Step 2: Convert to fraction form
7,442/11,163 = 1,970/x - Step 3: Cross multiply
7,442x = 11,163 × 1,970 - Step 4: Simplify right side
7,442x = 21,991,110 - Step 5: Solve for x
x = 21,991,110/7,442 - Step 6: Final answer
x = 2,955
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.