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Finding the Fourth Proportional to 6,157.99, 9,238.37 and 2,461.96

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Solution

The fourth proportional to 6,157.99, 9,238.37 and 2,461.96 is: 3,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.99 : 9,238.37 = 2,461.96 : x
  2. Step 2: Convert to fraction form
    6,157.99/9,238.37 = 2,461.96/x
  3. Step 3: Cross multiply
    6,157.99x = 9,238.37 × 2,461.96
  4. Step 4: Simplify right side
    6,157.99x = 22,744,497.41
  5. Step 5: Solve for x
    x = 22,744,497.41/6,157.99
  6. Step 6: Final answer
    x = 3,693.49

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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.