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Finding the Fourth Proportional to 6,473.66, 9,709.68 and 2,090.66

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Solution

The fourth proportional to 6,473.66, 9,709.68 and 2,090.66 is: 3,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.66 : 9,709.68 = 2,090.66 : x
  2. Step 2: Convert to fraction form
    6,473.66/9,709.68 = 2,090.66/x
  3. Step 3: Cross multiply
    6,473.66x = 9,709.68 × 2,090.66
  4. Step 4: Simplify right side
    6,473.66x = 20,299,639.59
  5. Step 5: Solve for x
    x = 20,299,639.59/6,473.66
  6. Step 6: Final answer
    x = 3,135.73

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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.