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Finding the Fourth Proportional to 6,466.50, 9,698.89 and 2,516.03

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Solution

The fourth proportional to 6,466.50, 9,698.89 and 2,516.03 is: 3,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.50 : 9,698.89 = 2,516.03 : x
  2. Step 2: Convert to fraction form
    6,466.50/9,698.89 = 2,516.03/x
  3. Step 3: Cross multiply
    6,466.50x = 9,698.89 × 2,516.03
  4. Step 4: Simplify right side
    6,466.50x = 24,402,698.21
  5. Step 5: Solve for x
    x = 24,402,698.21/6,466.50
  6. Step 6: Final answer
    x = 3,773.71

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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.