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Finding the Fourth Proportional to 6,515.80, 9,770.10 and 2,615.80

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Solution

The fourth proportional to 6,515.80, 9,770.10 and 2,615.80 is: 3,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.80 : 9,770.10 = 2,615.80 : x
  2. Step 2: Convert to fraction form
    6,515.80/9,770.10 = 2,615.80/x
  3. Step 3: Cross multiply
    6,515.80x = 9,770.10 × 2,615.80
  4. Step 4: Simplify right side
    6,515.80x = 25,556,627.58
  5. Step 5: Solve for x
    x = 25,556,627.58/6,515.80
  6. Step 6: Final answer
    x = 3,922.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.