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Finding the Fourth Proportional to 9,653, 14,467.26 and 4,099.82

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Solution

The fourth proportional to 9,653, 14,467.26 and 4,099.82 is: 6,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653 : 14,467.26 = 4,099.82 : x
  2. Step 2: Convert to fraction form
    9,653/14,467.26 = 4,099.82/x
  3. Step 3: Cross multiply
    9,653x = 14,467.26 × 4,099.82
  4. Step 4: Simplify right side
    9,653x = 59,313,161.89
  5. Step 5: Solve for x
    x = 59,313,161.89/9,653
  6. Step 6: Final answer
    x = 6,144.53

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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.