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Finding the Fourth Proportional to 9,604.42, 14,411.48 and 4,413.94

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Solution

The fourth proportional to 9,604.42, 14,411.48 and 4,413.94 is: 6,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.42 : 14,411.48 = 4,413.94 : x
  2. Step 2: Convert to fraction form
    9,604.42/14,411.48 = 4,413.94/x
  3. Step 3: Cross multiply
    9,604.42x = 14,411.48 × 4,413.94
  4. Step 4: Simplify right side
    9,604.42x = 63,611,408.03
  5. Step 5: Solve for x
    x = 63,611,408.03/9,604.42
  6. Step 6: Final answer
    x = 6,623.14

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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.