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Finding the Fourth Proportional to 6,338.46, 9,510.45 and 3,413.34

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Solution

The fourth proportional to 6,338.46, 9,510.45 and 3,413.34 is: 5,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.46 : 9,510.45 = 3,413.34 : x
  2. Step 2: Convert to fraction form
    6,338.46/9,510.45 = 3,413.34/x
  3. Step 3: Cross multiply
    6,338.46x = 9,510.45 × 3,413.34
  4. Step 4: Simplify right side
    6,338.46x = 32,462,399.40
  5. Step 5: Solve for x
    x = 32,462,399.40/6,338.46
  6. Step 6: Final answer
    x = 5,121.50

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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.