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Finding the Fourth Proportional to 7,771.07, 10,724.10 and 4,234.30

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Solution

The fourth proportional to 7,771.07, 10,724.10 and 4,234.30 is: 5,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.07 : 10,724.10 = 4,234.30 : x
  2. Step 2: Convert to fraction form
    7,771.07/10,724.10 = 4,234.30/x
  3. Step 3: Cross multiply
    7,771.07x = 10,724.10 × 4,234.30
  4. Step 4: Simplify right side
    7,771.07x = 45,409,013.94
  5. Step 5: Solve for x
    x = 45,409,013.94/7,771.07
  6. Step 6: Final answer
    x = 5,843.34

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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.