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Finding the Fourth Proportional to 11,644.02, 17,466.06 and 6,099

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Solution

The fourth proportional to 11,644.02, 17,466.06 and 6,099 is: 9,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.02 : 17,466.06 = 6,099 : x
  2. Step 2: Convert to fraction form
    11,644.02/17,466.06 = 6,099/x
  3. Step 3: Cross multiply
    11,644.02x = 17,466.06 × 6,099
  4. Step 4: Simplify right side
    11,644.02x = 106,525,499.94
  5. Step 5: Solve for x
    x = 106,525,499.94/11,644.02
  6. Step 6: Final answer
    x = 9,148.52

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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.