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Finding the Fourth Proportional to 7,303.83, 10,965.16 and 6,270.47

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Solution

The fourth proportional to 7,303.83, 10,965.16 and 6,270.47 is: 9,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.83 : 10,965.16 = 6,270.47 : x
  2. Step 2: Convert to fraction form
    7,303.83/10,965.16 = 6,270.47/x
  3. Step 3: Cross multiply
    7,303.83x = 10,965.16 × 6,270.47
  4. Step 4: Simplify right side
    7,303.83x = 68,756,706.83
  5. Step 5: Solve for x
    x = 68,756,706.83/7,303.83
  6. Step 6: Final answer
    x = 9,413.79

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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.