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Finding the Fourth Proportional to 4,094, 6,141.04 and 1,016

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Solution

The fourth proportional to 4,094, 6,141.04 and 1,016 is: 1,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094 : 6,141.04 = 1,016 : x
  2. Step 2: Convert to fraction form
    4,094/6,141.04 = 1,016/x
  3. Step 3: Cross multiply
    4,094x = 6,141.04 × 1,016
  4. Step 4: Simplify right side
    4,094x = 6,239,296.64
  5. Step 5: Solve for x
    x = 6,239,296.64/4,094
  6. Step 6: Final answer
    x = 1,524.01

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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.