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Finding the Fourth Proportional to 6,196.92, 9,295.38 and 1,579.92

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Solution

The fourth proportional to 6,196.92, 9,295.38 and 1,579.92 is: 2,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.92 : 9,295.38 = 1,579.92 : x
  2. Step 2: Convert to fraction form
    6,196.92/9,295.38 = 1,579.92/x
  3. Step 3: Cross multiply
    6,196.92x = 9,295.38 × 1,579.92
  4. Step 4: Simplify right side
    6,196.92x = 14,685,978.64
  5. Step 5: Solve for x
    x = 14,685,978.64/6,196.92
  6. Step 6: Final answer
    x = 2,369.88

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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.