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Finding the Fourth Proportional to 9,919.97, 14,879.65 and 2,524.40

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Solution

The fourth proportional to 9,919.97, 14,879.65 and 2,524.40 is: 3,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.97 : 14,879.65 = 2,524.40 : x
  2. Step 2: Convert to fraction form
    9,919.97/14,879.65 = 2,524.40/x
  3. Step 3: Cross multiply
    9,919.97x = 14,879.65 × 2,524.40
  4. Step 4: Simplify right side
    9,919.97x = 37,562,168.28
  5. Step 5: Solve for x
    x = 37,562,168.28/9,919.97
  6. Step 6: Final answer
    x = 3,786.52

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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.