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Finding the Fourth Proportional to 7,771.66, 10,724.72 and 4,234.90

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Solution

The fourth proportional to 7,771.66, 10,724.72 and 4,234.90 is: 5,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.66 : 10,724.72 = 4,234.90 : x
  2. Step 2: Convert to fraction form
    7,771.66/10,724.72 = 4,234.90/x
  3. Step 3: Cross multiply
    7,771.66x = 10,724.72 × 4,234.90
  4. Step 4: Simplify right side
    7,771.66x = 45,418,116.73
  5. Step 5: Solve for x
    x = 45,418,116.73/7,771.66
  6. Step 6: Final answer
    x = 5,844.07

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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.