Finding the Fourth Proportional to 27,698, 41,547 and 11,282
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Solution
The fourth proportional to 27,698, 41,547 and 11,282 is: 16,923
Step by Step Solution
- Step 1: Write the proportion equation
27,698 : 41,547 = 11,282 : x - Step 2: Convert to fraction form
27,698/41,547 = 11,282/x - Step 3: Cross multiply
27,698x = 41,547 × 11,282 - Step 4: Simplify right side
27,698x = 468,733,254 - Step 5: Solve for x
x = 468,733,254/27,698 - Step 6: Final answer
x = 16,923
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.