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Finding the Fourth Proportional to 6,524.14, 9,787.65 and 3,059.50

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Solution

The fourth proportional to 6,524.14, 9,787.65 and 3,059.50 is: 4,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.14 : 9,787.65 = 3,059.50 : x
  2. Step 2: Convert to fraction form
    6,524.14/9,787.65 = 3,059.50/x
  3. Step 3: Cross multiply
    6,524.14x = 9,787.65 × 3,059.50
  4. Step 4: Simplify right side
    6,524.14x = 29,945,315.18
  5. Step 5: Solve for x
    x = 29,945,315.18/6,524.14
  6. Step 6: Final answer
    x = 4,589.93

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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.