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Finding the Fourth Proportional to 6,190.71, 9,291.54 and 3,271.07

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Solution

The fourth proportional to 6,190.71, 9,291.54 and 3,271.07 is: 4,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.71 : 9,291.54 = 3,271.07 : x
  2. Step 2: Convert to fraction form
    6,190.71/9,291.54 = 3,271.07/x
  3. Step 3: Cross multiply
    6,190.71x = 9,291.54 × 3,271.07
  4. Step 4: Simplify right side
    6,190.71x = 30,393,231.29
  5. Step 5: Solve for x
    x = 30,393,231.29/6,190.71
  6. Step 6: Final answer
    x = 4,909.49

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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.