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Finding the Fourth Proportional to 6,325.31, 9,490.05 and 3,982.56

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Solution

The fourth proportional to 6,325.31, 9,490.05 and 3,982.56 is: 5,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.31 : 9,490.05 = 3,982.56 : x
  2. Step 2: Convert to fraction form
    6,325.31/9,490.05 = 3,982.56/x
  3. Step 3: Cross multiply
    6,325.31x = 9,490.05 × 3,982.56
  4. Step 4: Simplify right side
    6,325.31x = 37,794,693.53
  5. Step 5: Solve for x
    x = 37,794,693.53/6,325.31
  6. Step 6: Final answer
    x = 5,975.16

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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.