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Finding the Fourth Proportional to 6,794.72, 10,182.48 and 2,895.20

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Solution

The fourth proportional to 6,794.72, 10,182.48 and 2,895.20 is: 4,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.72 : 10,182.48 = 2,895.20 : x
  2. Step 2: Convert to fraction form
    6,794.72/10,182.48 = 2,895.20/x
  3. Step 3: Cross multiply
    6,794.72x = 10,182.48 × 2,895.20
  4. Step 4: Simplify right side
    6,794.72x = 29,480,316.10
  5. Step 5: Solve for x
    x = 29,480,316.10/6,794.72
  6. Step 6: Final answer
    x = 4,338.71

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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.