Finding the Fourth Proportional to 10,117.50, 15,178.68 and 3,192
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Solution
The fourth proportional to 10,117.50, 15,178.68 and 3,192 is: 4,788.77
Step by Step Solution
- Step 1: Write the proportion equation
10,117.50 : 15,178.68 = 3,192 : x - Step 2: Convert to fraction form
10,117.50/15,178.68 = 3,192/x - Step 3: Cross multiply
10,117.50x = 15,178.68 × 3,192 - Step 4: Simplify right side
10,117.50x = 48,450,346.56 - Step 5: Solve for x
x = 48,450,346.56/10,117.50 - Step 6: Final answer
x = 4,788.77
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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.