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Finding the Fourth Proportional to 4,047, 6,071.46 and 1,311

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Solution

The fourth proportional to 4,047, 6,071.46 and 1,311 is: 1,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047 : 6,071.46 = 1,311 : x
  2. Step 2: Convert to fraction form
    4,047/6,071.46 = 1,311/x
  3. Step 3: Cross multiply
    4,047x = 6,071.46 × 1,311
  4. Step 4: Simplify right side
    4,047x = 7,959,684.06
  5. Step 5: Solve for x
    x = 7,959,684.06/4,047
  6. Step 6: Final answer
    x = 1,966.81

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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.