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Finding the Fourth Proportional to 6,558.34, 9,836.13 and 2,400.31

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Solution

The fourth proportional to 6,558.34, 9,836.13 and 2,400.31 is: 3,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.34 : 9,836.13 = 2,400.31 : x
  2. Step 2: Convert to fraction form
    6,558.34/9,836.13 = 2,400.31/x
  3. Step 3: Cross multiply
    6,558.34x = 9,836.13 × 2,400.31
  4. Step 4: Simplify right side
    6,558.34x = 23,609,761.20
  5. Step 5: Solve for x
    x = 23,609,761.20/6,558.34
  6. Step 6: Final answer
    x = 3,599.96

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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.