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Finding the Fourth Proportional to 7,771.72, 10,724.73 and 4,414.27

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Solution

The fourth proportional to 7,771.72, 10,724.73 and 4,414.27 is: 6,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.72 : 10,724.73 = 4,414.27 : x
  2. Step 2: Convert to fraction form
    7,771.72/10,724.73 = 4,414.27/x
  3. Step 3: Cross multiply
    7,771.72x = 10,724.73 × 4,414.27
  4. Step 4: Simplify right side
    7,771.72x = 47,341,853.90
  5. Step 5: Solve for x
    x = 47,341,853.90/7,771.72
  6. Step 6: Final answer
    x = 6,091.55

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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.