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Finding the Fourth Proportional to 6,413.10, 9,620.93 and 2,715.30

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Solution

The fourth proportional to 6,413.10, 9,620.93 and 2,715.30 is: 4,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.10 : 9,620.93 = 2,715.30 : x
  2. Step 2: Convert to fraction form
    6,413.10/9,620.93 = 2,715.30/x
  3. Step 3: Cross multiply
    6,413.10x = 9,620.93 × 2,715.30
  4. Step 4: Simplify right side
    6,413.10x = 26,123,697.65
  5. Step 5: Solve for x
    x = 26,123,697.65/6,413.10
  6. Step 6: Final answer
    x = 4,073.49

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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.