Finding the Fourth Proportional to 13,214, 19,821 and 5,006
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Solution
The fourth proportional to 13,214, 19,821 and 5,006 is: 7,509
Step by Step Solution
- Step 1: Write the proportion equation
13,214 : 19,821 = 5,006 : x - Step 2: Convert to fraction form
13,214/19,821 = 5,006/x - Step 3: Cross multiply
13,214x = 19,821 × 5,006 - Step 4: Simplify right side
13,214x = 99,223,926 - Step 5: Solve for x
x = 99,223,926/13,214 - Step 6: Final answer
x = 7,509
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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.