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Finding the Fourth Proportional to 6,369.66, 9,552.86 and 1,984.86

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Solution

The fourth proportional to 6,369.66, 9,552.86 and 1,984.86 is: 2,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.66 : 9,552.86 = 1,984.86 : x
  2. Step 2: Convert to fraction form
    6,369.66/9,552.86 = 1,984.86/x
  3. Step 3: Cross multiply
    6,369.66x = 9,552.86 × 1,984.86
  4. Step 4: Simplify right side
    6,369.66x = 18,961,089.70
  5. Step 5: Solve for x
    x = 18,961,089.70/6,369.66
  6. Step 6: Final answer
    x = 2,976.78

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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.