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Finding the Fourth Proportional to 4,797.92, 7,198.14 and 1,510.94

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Solution

The fourth proportional to 4,797.92, 7,198.14 and 1,510.94 is: 2,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.92 : 7,198.14 = 1,510.94 : x
  2. Step 2: Convert to fraction form
    4,797.92/7,198.14 = 1,510.94/x
  3. Step 3: Cross multiply
    4,797.92x = 7,198.14 × 1,510.94
  4. Step 4: Simplify right side
    4,797.92x = 10,875,957.65
  5. Step 5: Solve for x
    x = 10,875,957.65/4,797.92
  6. Step 6: Final answer
    x = 2,266.81

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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.