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Finding the Fourth Proportional to 4,778.86, 6,576.87 and 4,042.48

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Solution

The fourth proportional to 4,778.86, 6,576.87 and 4,042.48 is: 5,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.86 : 6,576.87 = 4,042.48 : x
  2. Step 2: Convert to fraction form
    4,778.86/6,576.87 = 4,042.48/x
  3. Step 3: Cross multiply
    4,778.86x = 6,576.87 × 4,042.48
  4. Step 4: Simplify right side
    4,778.86x = 26,586,865.44
  5. Step 5: Solve for x
    x = 26,586,865.44/4,778.86
  6. Step 6: Final answer
    x = 5,563.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.