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Finding the Fourth Proportional to 4,647.46, 6,413.46 and 2,522.94

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Solution

The fourth proportional to 4,647.46, 6,413.46 and 2,522.94 is: 3,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.46 : 6,413.46 = 2,522.94 : x
  2. Step 2: Convert to fraction form
    4,647.46/6,413.46 = 2,522.94/x
  3. Step 3: Cross multiply
    4,647.46x = 6,413.46 × 2,522.94
  4. Step 4: Simplify right side
    4,647.46x = 16,180,774.77
  5. Step 5: Solve for x
    x = 16,180,774.77/4,647.46
  6. Step 6: Final answer
    x = 3,481.64

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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.