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Finding the Fourth Proportional to 7,194, 9,928.13 and 4,050.39

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Solution

The fourth proportional to 7,194, 9,928.13 and 4,050.39 is: 5,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194 : 9,928.13 = 4,050.39 : x
  2. Step 2: Convert to fraction form
    7,194/9,928.13 = 4,050.39/x
  3. Step 3: Cross multiply
    7,194x = 9,928.13 × 4,050.39
  4. Step 4: Simplify right side
    7,194x = 40,212,778.22
  5. Step 5: Solve for x
    x = 40,212,778.22/7,194
  6. Step 6: Final answer
    x = 5,589.77

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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.