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Finding the Fourth Proportional to 6,996.17, 10,491.09 and 2,064.08

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Solution

The fourth proportional to 6,996.17, 10,491.09 and 2,064.08 is: 3,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.17 : 10,491.09 = 2,064.08 : x
  2. Step 2: Convert to fraction form
    6,996.17/10,491.09 = 2,064.08/x
  3. Step 3: Cross multiply
    6,996.17x = 10,491.09 × 2,064.08
  4. Step 4: Simplify right side
    6,996.17x = 21,654,396.59
  5. Step 5: Solve for x
    x = 21,654,396.59/6,996.17
  6. Step 6: Final answer
    x = 3,095.18

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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.