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Finding the Fourth Proportional to 6,473.88, 9,709.92 and 2,090.82

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Solution

The fourth proportional to 6,473.88, 9,709.92 and 2,090.82 is: 3,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.88 : 9,709.92 = 2,090.82 : x
  2. Step 2: Convert to fraction form
    6,473.88/9,709.92 = 2,090.82/x
  3. Step 3: Cross multiply
    6,473.88x = 9,709.92 × 2,090.82
  4. Step 4: Simplify right side
    6,473.88x = 20,301,694.93
  5. Step 5: Solve for x
    x = 20,301,694.93/6,473.88
  6. Step 6: Final answer
    x = 3,135.94

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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.