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Finding the Fourth Proportional to 5,174.82, 7,724.70 and 4,431.24

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Solution

The fourth proportional to 5,174.82, 7,724.70 and 4,431.24 is: 6,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.82 : 7,724.70 = 4,431.24 : x
  2. Step 2: Convert to fraction form
    5,174.82/7,724.70 = 4,431.24/x
  3. Step 3: Cross multiply
    5,174.82x = 7,724.70 × 4,431.24
  4. Step 4: Simplify right side
    5,174.82x = 34,229,999.63
  5. Step 5: Solve for x
    x = 34,229,999.63/5,174.82
  6. Step 6: Final answer
    x = 6,614.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.