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Finding the Fourth Proportional to 9,604.66, 14,413.50 and 3,364.72

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Solution

The fourth proportional to 9,604.66, 14,413.50 and 3,364.72 is: 5,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.66 : 14,413.50 = 3,364.72 : x
  2. Step 2: Convert to fraction form
    9,604.66/14,413.50 = 3,364.72/x
  3. Step 3: Cross multiply
    9,604.66x = 14,413.50 × 3,364.72
  4. Step 4: Simplify right side
    9,604.66x = 48,497,409.74
  5. Step 5: Solve for x
    x = 48,497,409.74/9,604.66
  6. Step 6: Final answer
    x = 5,049.36

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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.