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Finding the Fourth Proportional to 6,505.57, 9,751.87 and 2,551.42

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Solution

The fourth proportional to 6,505.57, 9,751.87 and 2,551.42 is: 3,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.57 : 9,751.87 = 2,551.42 : x
  2. Step 2: Convert to fraction form
    6,505.57/9,751.87 = 2,551.42/x
  3. Step 3: Cross multiply
    6,505.57x = 9,751.87 × 2,551.42
  4. Step 4: Simplify right side
    6,505.57x = 24,881,116.16
  5. Step 5: Solve for x
    x = 24,881,116.16/6,505.57
  6. Step 6: Final answer
    x = 3,824.59

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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.