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Finding the Fourth Proportional to 6,589.34, 9,090.24 and 3,793.22

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Solution

The fourth proportional to 6,589.34, 9,090.24 and 3,793.22 is: 5,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.34 : 9,090.24 = 3,793.22 : x
  2. Step 2: Convert to fraction form
    6,589.34/9,090.24 = 3,793.22/x
  3. Step 3: Cross multiply
    6,589.34x = 9,090.24 × 3,793.22
  4. Step 4: Simplify right side
    6,589.34x = 34,481,254.59
  5. Step 5: Solve for x
    x = 34,481,254.59/6,589.34
  6. Step 6: Final answer
    x = 5,232.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.