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Finding the Fourth Proportional to 6,324, 9,488.52 and 3,202.32

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Solution

The fourth proportional to 6,324, 9,488.52 and 3,202.32 is: 4,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 9,488.52 = 3,202.32 : x
  2. Step 2: Convert to fraction form
    6,324/9,488.52 = 3,202.32/x
  3. Step 3: Cross multiply
    6,324x = 9,488.52 × 3,202.32
  4. Step 4: Simplify right side
    6,324x = 30,385,277.37
  5. Step 5: Solve for x
    x = 30,385,277.37/6,324
  6. Step 6: Final answer
    x = 4,804.76

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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.