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Finding the Fourth Proportional to 6,331.40, 9,497.34 and 1,889

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Solution

The fourth proportional to 6,331.40, 9,497.34 and 1,889 is: 2,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.40 : 9,497.34 = 1,889 : x
  2. Step 2: Convert to fraction form
    6,331.40/9,497.34 = 1,889/x
  3. Step 3: Cross multiply
    6,331.40x = 9,497.34 × 1,889
  4. Step 4: Simplify right side
    6,331.40x = 17,940,475.26
  5. Step 5: Solve for x
    x = 17,940,475.26/6,331.40
  6. Step 6: Final answer
    x = 2,833.57

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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.