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Finding the Fourth Proportional to 6,034.34, 9,055.02 and 2,571.50

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Solution

The fourth proportional to 6,034.34, 9,055.02 and 2,571.50 is: 3,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.34 : 9,055.02 = 2,571.50 : x
  2. Step 2: Convert to fraction form
    6,034.34/9,055.02 = 2,571.50/x
  3. Step 3: Cross multiply
    6,034.34x = 9,055.02 × 2,571.50
  4. Step 4: Simplify right side
    6,034.34x = 23,284,983.93
  5. Step 5: Solve for x
    x = 23,284,983.93/6,034.34
  6. Step 6: Final answer
    x = 3,858.75

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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.