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Finding the Fourth Proportional to 4,164.12, 6,239.22 and 4,011

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Solution

The fourth proportional to 4,164.12, 6,239.22 and 4,011 is: 6,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.12 : 6,239.22 = 4,011 : x
  2. Step 2: Convert to fraction form
    4,164.12/6,239.22 = 4,011/x
  3. Step 3: Cross multiply
    4,164.12x = 6,239.22 × 4,011
  4. Step 4: Simplify right side
    4,164.12x = 25,025,511.42
  5. Step 5: Solve for x
    x = 25,025,511.42/4,164.12
  6. Step 6: Final answer
    x = 6,009.80

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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.