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Finding the Fourth Proportional to 6,151.49, 9,228.70 and 1,991.50

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Solution

The fourth proportional to 6,151.49, 9,228.70 and 1,991.50 is: 2,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.49 : 9,228.70 = 1,991.50 : x
  2. Step 2: Convert to fraction form
    6,151.49/9,228.70 = 1,991.50/x
  3. Step 3: Cross multiply
    6,151.49x = 9,228.70 × 1,991.50
  4. Step 4: Simplify right side
    6,151.49x = 18,378,956.05
  5. Step 5: Solve for x
    x = 18,378,956.05/6,151.49
  6. Step 6: Final answer
    x = 2,987.72

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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.