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Finding the Fourth Proportional to 9,879.82, 13,634.37 and 5,900.19

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Solution

The fourth proportional to 9,879.82, 13,634.37 and 5,900.19 is: 8,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.82 : 13,634.37 = 5,900.19 : x
  2. Step 2: Convert to fraction form
    9,879.82/13,634.37 = 5,900.19/x
  3. Step 3: Cross multiply
    9,879.82x = 13,634.37 × 5,900.19
  4. Step 4: Simplify right side
    9,879.82x = 80,445,305.36
  5. Step 5: Solve for x
    x = 80,445,305.36/9,879.82
  6. Step 6: Final answer
    x = 8,142.39

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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.