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Finding the Fourth Proportional to 7,697.88, 11,537.10 and 7,615.26

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Solution

The fourth proportional to 7,697.88, 11,537.10 and 7,615.26 is: 11,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.88 : 11,537.10 = 7,615.26 : x
  2. Step 2: Convert to fraction form
    7,697.88/11,537.10 = 7,615.26/x
  3. Step 3: Cross multiply
    7,697.88x = 11,537.10 × 7,615.26
  4. Step 4: Simplify right side
    7,697.88x = 87,858,016.15
  5. Step 5: Solve for x
    x = 87,858,016.15/7,697.88
  6. Step 6: Final answer
    x = 11,413.27

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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.