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Finding the Fourth Proportional to 6,231.52, 9,352.75 and 5,258.31

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Solution

The fourth proportional to 6,231.52, 9,352.75 and 5,258.31 is: 7,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.52 : 9,352.75 = 5,258.31 : x
  2. Step 2: Convert to fraction form
    6,231.52/9,352.75 = 5,258.31/x
  3. Step 3: Cross multiply
    6,231.52x = 9,352.75 × 5,258.31
  4. Step 4: Simplify right side
    6,231.52x = 49,179,658.85
  5. Step 5: Solve for x
    x = 49,179,658.85/6,231.52
  6. Step 6: Final answer
    x = 7,892.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.