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Finding the Fourth Proportional to 6,143.41, 9,216.42 and 1,983.65

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Solution

The fourth proportional to 6,143.41, 9,216.42 and 1,983.65 is: 2,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.41 : 9,216.42 = 1,983.65 : x
  2. Step 2: Convert to fraction form
    6,143.41/9,216.42 = 1,983.65/x
  3. Step 3: Cross multiply
    6,143.41x = 9,216.42 × 1,983.65
  4. Step 4: Simplify right side
    6,143.41x = 18,282,151.53
  5. Step 5: Solve for x
    x = 18,282,151.53/6,143.41
  6. Step 6: Final answer
    x = 2,975.90

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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.