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Finding the Fourth Proportional to 9,604.56, 14,413.32 and 3,364.62

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Solution

The fourth proportional to 9,604.56, 14,413.32 and 3,364.62 is: 5,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.56 : 14,413.32 = 3,364.62 : x
  2. Step 2: Convert to fraction form
    9,604.56/14,413.32 = 3,364.62/x
  3. Step 3: Cross multiply
    9,604.56x = 14,413.32 × 3,364.62
  4. Step 4: Simplify right side
    9,604.56x = 48,495,344.74
  5. Step 5: Solve for x
    x = 48,495,344.74/9,604.56
  6. Step 6: Final answer
    x = 5,049.20

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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.