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Finding the Fourth Proportional to 7,950.39, 10,970.75 and 4,413.22

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Solution

The fourth proportional to 7,950.39, 10,970.75 and 4,413.22 is: 6,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.39 : 10,970.75 = 4,413.22 : x
  2. Step 2: Convert to fraction form
    7,950.39/10,970.75 = 4,413.22/x
  3. Step 3: Cross multiply
    7,950.39x = 10,970.75 × 4,413.22
  4. Step 4: Simplify right side
    7,950.39x = 48,416,311.25
  5. Step 5: Solve for x
    x = 48,416,311.25/7,950.39
  6. Step 6: Final answer
    x = 6,089.80

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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.