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Finding the Fourth Proportional to 7,771.62, 10,724.80 and 4,234.83

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Solution

The fourth proportional to 7,771.62, 10,724.80 and 4,234.83 is: 5,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.62 : 10,724.80 = 4,234.83 : x
  2. Step 2: Convert to fraction form
    7,771.62/10,724.80 = 4,234.83/x
  3. Step 3: Cross multiply
    7,771.62x = 10,724.80 × 4,234.83
  4. Step 4: Simplify right side
    7,771.62x = 45,417,704.78
  5. Step 5: Solve for x
    x = 45,417,704.78/7,771.62
  6. Step 6: Final answer
    x = 5,844.05

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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.