Finding the Fourth Proportional to 23,823, 35,734.50 and 9,972
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Solution
The fourth proportional to 23,823, 35,734.50 and 9,972 is: 14,958
Step by Step Solution
- Step 1: Write the proportion equation
23,823 : 35,734.50 = 9,972 : x - Step 2: Convert to fraction form
23,823/35,734.50 = 9,972/x - Step 3: Cross multiply
23,823x = 35,734.50 × 9,972 - Step 4: Simplify right side
23,823x = 356,344,434 - Step 5: Solve for x
x = 356,344,434/23,823 - Step 6: Final answer
x = 14,958
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1.5x scale
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.