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Finding the Fourth Proportional to 4,757.52, 6,563.76 and 2,766.42

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Solution

The fourth proportional to 4,757.52, 6,563.76 and 2,766.42 is: 3,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.52 : 6,563.76 = 2,766.42 : x
  2. Step 2: Convert to fraction form
    4,757.52/6,563.76 = 2,766.42/x
  3. Step 3: Cross multiply
    4,757.52x = 6,563.76 × 2,766.42
  4. Step 4: Simplify right side
    4,757.52x = 18,158,116.94
  5. Step 5: Solve for x
    x = 18,158,116.94/4,757.52
  6. Step 6: Final answer
    x = 3,816.72

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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.