Finding the Fourth Proportional to 10,378,509.24, 14,323,228.16 and 5,795,716.24
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Solution
The fourth proportional to 10,378,509.24, 14,323,228.16 and 5,795,716.24 is: 7,998,582.85
Step by Step Solution
- Step 1: Write the proportion equation
10,378,509.24 : 14,323,228.16 = 5,795,716.24 : x - Step 2: Convert to fraction form
10,378,509.24/14,323,228.16 = 5,795,716.24/x - Step 3: Cross multiply
10,378,509.24x = 14,323,228.16 × 5,795,716.24 - Step 4: Simplify right side
10,378,509.24x = 83,013,366,056,137.33 - Step 5: Solve for x
x = 83,013,366,056,137.33/10,378,509.24 - Step 6: Final answer
x = 7,998,582.85
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.