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Finding the Fourth Proportional to 8,537.65, 12,772.69 and 6,463.64

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Solution

The fourth proportional to 8,537.65, 12,772.69 and 6,463.64 is: 9,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.65 : 12,772.69 = 6,463.64 : x
  2. Step 2: Convert to fraction form
    8,537.65/12,772.69 = 6,463.64/x
  3. Step 3: Cross multiply
    8,537.65x = 12,772.69 × 6,463.64
  4. Step 4: Simplify right side
    8,537.65x = 82,558,069.99
  5. Step 5: Solve for x
    x = 82,558,069.99/8,537.65
  6. Step 6: Final answer
    x = 9,669.88

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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.