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Finding the Fourth Proportional to 6,288, 9,436.32 and 2,184

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Solution

The fourth proportional to 6,288, 9,436.32 and 2,184 is: 3,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 9,436.32 = 2,184 : x
  2. Step 2: Convert to fraction form
    6,288/9,436.32 = 2,184/x
  3. Step 3: Cross multiply
    6,288x = 9,436.32 × 2,184
  4. Step 4: Simplify right side
    6,288x = 20,608,922.88
  5. Step 5: Solve for x
    x = 20,608,922.88/6,288
  6. Step 6: Final answer
    x = 3,277.50

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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.