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Finding the Fourth Proportional to 6,012.85, 9,010.04 and 5,090.21

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Solution

The fourth proportional to 6,012.85, 9,010.04 and 5,090.21 is: 7,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.85 : 9,010.04 = 5,090.21 : x
  2. Step 2: Convert to fraction form
    6,012.85/9,010.04 = 5,090.21/x
  3. Step 3: Cross multiply
    6,012.85x = 9,010.04 × 5,090.21
  4. Step 4: Simplify right side
    6,012.85x = 45,862,958.99
  5. Step 5: Solve for x
    x = 45,862,958.99/6,012.85
  6. Step 6: Final answer
    x = 7,627.49

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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.