Finding the Fourth Proportional to 13,878, 20,817 and 5,670
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Solution
The fourth proportional to 13,878, 20,817 and 5,670 is: 8,505
Step by Step Solution
- Step 1: Write the proportion equation
13,878 : 20,817 = 5,670 : x - Step 2: Convert to fraction form
13,878/20,817 = 5,670/x - Step 3: Cross multiply
13,878x = 20,817 × 5,670 - Step 4: Simplify right side
13,878x = 118,032,390 - Step 5: Solve for x
x = 118,032,390/13,878 - Step 6: Final answer
x = 8,505
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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.