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Finding the Fourth Proportional to 10,474.37, 14,453.87 and 6,225.24

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Solution

The fourth proportional to 10,474.37, 14,453.87 and 6,225.24 is: 8,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.37 : 14,453.87 = 6,225.24 : x
  2. Step 2: Convert to fraction form
    10,474.37/14,453.87 = 6,225.24/x
  3. Step 3: Cross multiply
    10,474.37x = 14,453.87 × 6,225.24
  4. Step 4: Simplify right side
    10,474.37x = 89,978,778.55
  5. Step 5: Solve for x
    x = 89,978,778.55/10,474.37
  6. Step 6: Final answer
    x = 8,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.