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Finding the Fourth Proportional to 6,592.74, 9,892.74 and 2,696.88

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Solution

The fourth proportional to 6,592.74, 9,892.74 and 2,696.88 is: 4,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.74 : 9,892.74 = 2,696.88 : x
  2. Step 2: Convert to fraction form
    6,592.74/9,892.74 = 2,696.88/x
  3. Step 3: Cross multiply
    6,592.74x = 9,892.74 × 2,696.88
  4. Step 4: Simplify right side
    6,592.74x = 26,679,532.65
  5. Step 5: Solve for x
    x = 26,679,532.65/6,592.74
  6. Step 6: Final answer
    x = 4,046.80

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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.