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Finding the Fourth Proportional to 7,610.96, 11,404.60 and 3,657.96

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Solution

The fourth proportional to 7,610.96, 11,404.60 and 3,657.96 is: 5,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.96 : 11,404.60 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    7,610.96/11,404.60 = 3,657.96/x
  3. Step 3: Cross multiply
    7,610.96x = 11,404.60 × 3,657.96
  4. Step 4: Simplify right side
    7,610.96x = 41,717,561.47
  5. Step 5: Solve for x
    x = 41,717,561.47/7,610.96
  6. Step 6: Final answer
    x = 5,481.25

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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.