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Finding the Fourth Proportional to 6,413.94, 9,616.08 and 4,328.10

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Solution

The fourth proportional to 6,413.94, 9,616.08 and 4,328.10 is: 6,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.94 : 9,616.08 = 4,328.10 : x
  2. Step 2: Convert to fraction form
    6,413.94/9,616.08 = 4,328.10/x
  3. Step 3: Cross multiply
    6,413.94x = 9,616.08 × 4,328.10
  4. Step 4: Simplify right side
    6,413.94x = 41,619,355.85
  5. Step 5: Solve for x
    x = 41,619,355.85/6,413.94
  6. Step 6: Final answer
    x = 6,488.89

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1.5x scale

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.