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Finding the Fourth Proportional to 6,529.50, 9,798.57 and 2,425.50

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Solution

The fourth proportional to 6,529.50, 9,798.57 and 2,425.50 is: 3,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.50 : 9,798.57 = 2,425.50 : x
  2. Step 2: Convert to fraction form
    6,529.50/9,798.57 = 2,425.50/x
  3. Step 3: Cross multiply
    6,529.50x = 9,798.57 × 2,425.50
  4. Step 4: Simplify right side
    6,529.50x = 23,766,431.54
  5. Step 5: Solve for x
    x = 23,766,431.54/6,529.50
  6. Step 6: Final answer
    x = 3,639.85

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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.