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Finding the Fourth Proportional to 9,616.44, 14,413.62 and 4,411.38

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Solution

The fourth proportional to 9,616.44, 14,413.62 and 4,411.38 is: 6,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.44 : 14,413.62 = 4,411.38 : x
  2. Step 2: Convert to fraction form
    9,616.44/14,413.62 = 4,411.38/x
  3. Step 3: Cross multiply
    9,616.44x = 14,413.62 × 4,411.38
  4. Step 4: Simplify right side
    9,616.44x = 63,583,860.87
  5. Step 5: Solve for x
    x = 63,583,860.87/9,616.44
  6. Step 6: Final answer
    x = 6,612.00

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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.