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Finding the Fourth Proportional to 6,505.45, 9,758.51 and 2,063.46

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Solution

The fourth proportional to 6,505.45, 9,758.51 and 2,063.46 is: 3,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.45 : 9,758.51 = 2,063.46 : x
  2. Step 2: Convert to fraction form
    6,505.45/9,758.51 = 2,063.46/x
  3. Step 3: Cross multiply
    6,505.45x = 9,758.51 × 2,063.46
  4. Step 4: Simplify right side
    6,505.45x = 20,136,295.04
  5. Step 5: Solve for x
    x = 20,136,295.04/6,505.45
  6. Step 6: Final answer
    x = 3,095.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.