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Finding the Fourth Proportional to 6,797.32, 10,185.02 and 4,194.76

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Solution

The fourth proportional to 6,797.32, 10,185.02 and 4,194.76 is: 6,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.32 : 10,185.02 = 4,194.76 : x
  2. Step 2: Convert to fraction form
    6,797.32/10,185.02 = 4,194.76/x
  3. Step 3: Cross multiply
    6,797.32x = 10,185.02 × 4,194.76
  4. Step 4: Simplify right side
    6,797.32x = 42,723,714.50
  5. Step 5: Solve for x
    x = 42,723,714.50/6,797.32
  6. Step 6: Final answer
    x = 6,285.38

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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.