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Finding the Fourth Proportional to 11,706.50, 17,559.29 and 6,451.94

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Solution

The fourth proportional to 11,706.50, 17,559.29 and 6,451.94 is: 9,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.50 : 17,559.29 = 6,451.94 : x
  2. Step 2: Convert to fraction form
    11,706.50/17,559.29 = 6,451.94/x
  3. Step 3: Cross multiply
    11,706.50x = 17,559.29 × 6,451.94
  4. Step 4: Simplify right side
    11,706.50x = 113,291,413.86
  5. Step 5: Solve for x
    x = 113,291,413.86/11,706.50
  6. Step 6: Final answer
    x = 9,677.65

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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.