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Finding the Fourth Proportional to 6,549, 9,825.30 and 1,932

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Solution

The fourth proportional to 6,549, 9,825.30 and 1,932 is: 2,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 9,825.30 = 1,932 : x
  2. Step 2: Convert to fraction form
    6,549/9,825.30 = 1,932/x
  3. Step 3: Cross multiply
    6,549x = 9,825.30 × 1,932
  4. Step 4: Simplify right side
    6,549x = 18,982,479.60
  5. Step 5: Solve for x
    x = 18,982,479.60/6,549
  6. Step 6: Final answer
    x = 2,898.53

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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.