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Finding the Fourth Proportional to 6,849.70, 9,453.31 and 4,019.47

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Solution

The fourth proportional to 6,849.70, 9,453.31 and 4,019.47 is: 5,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.70 : 9,453.31 = 4,019.47 : x
  2. Step 2: Convert to fraction form
    6,849.70/9,453.31 = 4,019.47/x
  3. Step 3: Cross multiply
    6,849.70x = 9,453.31 × 4,019.47
  4. Step 4: Simplify right side
    6,849.70x = 37,997,262.26
  5. Step 5: Solve for x
    x = 37,997,262.26/6,849.70
  6. Step 6: Final answer
    x = 5,547.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.