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Finding the Fourth Proportional to 6,151.51, 9,226.00 and 1,767.99

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Solution

The fourth proportional to 6,151.51, 9,226.00 and 1,767.99 is: 2,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.51 : 9,226.00 = 1,767.99 : x
  2. Step 2: Convert to fraction form
    6,151.51/9,226.00 = 1,767.99/x
  3. Step 3: Cross multiply
    6,151.51x = 9,226.00 × 1,767.99
  4. Step 4: Simplify right side
    6,151.51x = 16,311,512.55
  5. Step 5: Solve for x
    x = 16,311,512.55/6,151.51
  6. Step 6: Final answer
    x = 2,651.63

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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.