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Finding the Fourth Proportional to 6,143.78, 9,216.98 and 1,984.02

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Solution

The fourth proportional to 6,143.78, 9,216.98 and 1,984.02 is: 2,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.78 : 9,216.98 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    6,143.78/9,216.98 = 1,984.02/x
  3. Step 3: Cross multiply
    6,143.78x = 9,216.98 × 1,984.02
  4. Step 4: Simplify right side
    6,143.78x = 18,286,672.66
  5. Step 5: Solve for x
    x = 18,286,672.66/6,143.78
  6. Step 6: Final answer
    x = 2,976.45

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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.