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Finding the Fourth Proportional to 4,504.92, 6,771.92 and 4,177.38

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Solution

The fourth proportional to 4,504.92, 6,771.92 and 4,177.38 is: 6,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.92 : 6,771.92 = 4,177.38 : x
  2. Step 2: Convert to fraction form
    4,504.92/6,771.92 = 4,177.38/x
  3. Step 3: Cross multiply
    4,504.92x = 6,771.92 × 4,177.38
  4. Step 4: Simplify right side
    4,504.92x = 28,288,862.28
  5. Step 5: Solve for x
    x = 28,288,862.28/4,504.92
  6. Step 6: Final answer
    x = 6,279.55

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1.5x scale

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.