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Finding the Fourth Proportional to 7,724.66, 10,658.22 and 5,211.42

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Solution

The fourth proportional to 7,724.66, 10,658.22 and 5,211.42 is: 7,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.66 : 10,658.22 = 5,211.42 : x
  2. Step 2: Convert to fraction form
    7,724.66/10,658.22 = 5,211.42/x
  3. Step 3: Cross multiply
    7,724.66x = 10,658.22 × 5,211.42
  4. Step 4: Simplify right side
    7,724.66x = 55,544,460.87
  5. Step 5: Solve for x
    x = 55,544,460.87/7,724.66
  6. Step 6: Final answer
    x = 7,190.54

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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.