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Finding the Fourth Proportional to 4,647, 6,413.09 and 2,758.17

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Solution

The fourth proportional to 4,647, 6,413.09 and 2,758.17 is: 3,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647 : 6,413.09 = 2,758.17 : x
  2. Step 2: Convert to fraction form
    4,647/6,413.09 = 2,758.17/x
  3. Step 3: Cross multiply
    4,647x = 6,413.09 × 2,758.17
  4. Step 4: Simplify right side
    4,647x = 17,688,378.65
  5. Step 5: Solve for x
    x = 17,688,378.65/4,647
  6. Step 6: Final answer
    x = 3,806.41

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1.5x scale

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.