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Finding the Fourth Proportional to 10,054, 13,874.49 and 6,074.37

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Solution

The fourth proportional to 10,054, 13,874.49 and 6,074.37 is: 8,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 13,874.49 = 6,074.37 : x
  2. Step 2: Convert to fraction form
    10,054/13,874.49 = 6,074.37/x
  3. Step 3: Cross multiply
    10,054x = 13,874.49 × 6,074.37
  4. Step 4: Simplify right side
    10,054x = 84,278,785.82
  5. Step 5: Solve for x
    x = 84,278,785.82/10,054
  6. Step 6: Final answer
    x = 8,382.61

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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.