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Finding the Fourth Proportional to 6,308.24, 9,466.92 and 4,232.24

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Solution

The fourth proportional to 6,308.24, 9,466.92 and 4,232.24 is: 6,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.24 : 9,466.92 = 4,232.24 : x
  2. Step 2: Convert to fraction form
    6,308.24/9,466.92 = 4,232.24/x
  3. Step 3: Cross multiply
    6,308.24x = 9,466.92 × 4,232.24
  4. Step 4: Simplify right side
    6,308.24x = 40,066,277.50
  5. Step 5: Solve for x
    x = 40,066,277.50/6,308.24
  6. Step 6: Final answer
    x = 6,351.42

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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.