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Finding the Fourth Proportional to 4,408.57, 6,069 and 3,413.53

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Solution

The fourth proportional to 4,408.57, 6,069 and 3,413.53 is: 4,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.57 : 6,069 = 3,413.53 : x
  2. Step 2: Convert to fraction form
    4,408.57/6,069 = 3,413.53/x
  3. Step 3: Cross multiply
    4,408.57x = 6,069 × 3,413.53
  4. Step 4: Simplify right side
    4,408.57x = 20,716,713.57
  5. Step 5: Solve for x
    x = 20,716,713.57/4,408.57
  6. Step 6: Final answer
    x = 4,699.19

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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.