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Finding the Fourth Proportional to 6,865.72, 10,295.54 and 2,483.20

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Solution

The fourth proportional to 6,865.72, 10,295.54 and 2,483.20 is: 3,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.72 : 10,295.54 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    6,865.72/10,295.54 = 2,483.20/x
  3. Step 3: Cross multiply
    6,865.72x = 10,295.54 × 2,483.20
  4. Step 4: Simplify right side
    6,865.72x = 25,565,884.93
  5. Step 5: Solve for x
    x = 25,565,884.93/6,865.72
  6. Step 6: Final answer
    x = 3,723.70

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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.