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Finding the Fourth Proportional to 10,441.56, 14,413.88 and 6,249

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Solution

The fourth proportional to 10,441.56, 14,413.88 and 6,249 is: 8,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.56 : 14,413.88 = 6,249 : x
  2. Step 2: Convert to fraction form
    10,441.56/14,413.88 = 6,249/x
  3. Step 3: Cross multiply
    10,441.56x = 14,413.88 × 6,249
  4. Step 4: Simplify right side
    10,441.56x = 90,072,336.12
  5. Step 5: Solve for x
    x = 90,072,336.12/10,441.56
  6. Step 6: Final answer
    x = 8,626.33

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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.