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Finding the Fourth Proportional to 6,331.70, 9,507.10 and 5,490.02

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Solution

The fourth proportional to 6,331.70, 9,507.10 and 5,490.02 is: 8,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.70 : 9,507.10 = 5,490.02 : x
  2. Step 2: Convert to fraction form
    6,331.70/9,507.10 = 5,490.02/x
  3. Step 3: Cross multiply
    6,331.70x = 9,507.10 × 5,490.02
  4. Step 4: Simplify right side
    6,331.70x = 52,194,169.14
  5. Step 5: Solve for x
    x = 52,194,169.14/6,331.70
  6. Step 6: Final answer
    x = 8,243.31

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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.