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Finding the Fourth Proportional to 6,473.17, 9,709.80 and 2,090.80

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Solution

The fourth proportional to 6,473.17, 9,709.80 and 2,090.80 is: 3,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.17 : 9,709.80 = 2,090.80 : x
  2. Step 2: Convert to fraction form
    6,473.17/9,709.80 = 2,090.80/x
  3. Step 3: Cross multiply
    6,473.17x = 9,709.80 × 2,090.80
  4. Step 4: Simplify right side
    6,473.17x = 20,301,249.84
  5. Step 5: Solve for x
    x = 20,301,249.84/6,473.17
  6. Step 6: Final answer
    x = 3,136.21

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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.