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Finding the Fourth Proportional to 6,151.65, 9,226.49 and 1,768.11

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Solution

The fourth proportional to 6,151.65, 9,226.49 and 1,768.11 is: 2,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.65 : 9,226.49 = 1,768.11 : x
  2. Step 2: Convert to fraction form
    6,151.65/9,226.49 = 1,768.11/x
  3. Step 3: Cross multiply
    6,151.65x = 9,226.49 × 1,768.11
  4. Step 4: Simplify right side
    6,151.65x = 16,313,440.39
  5. Step 5: Solve for x
    x = 16,313,440.39/6,151.65
  6. Step 6: Final answer
    x = 2,651.88

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1.5x scale

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.