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Finding the Fourth Proportional to 6,365.98, 9,550.86 and 3,443.50

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Solution

The fourth proportional to 6,365.98, 9,550.86 and 3,443.50 is: 5,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.98 : 9,550.86 = 3,443.50 : x
  2. Step 2: Convert to fraction form
    6,365.98/9,550.86 = 3,443.50/x
  3. Step 3: Cross multiply
    6,365.98x = 9,550.86 × 3,443.50
  4. Step 4: Simplify right side
    6,365.98x = 32,888,386.41
  5. Step 5: Solve for x
    x = 32,888,386.41/6,365.98
  6. Step 6: Final answer
    x = 5,166.27

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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.