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Finding the Fourth Proportional to 6,698.24, 9,243.56 and 3,714

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Solution

The fourth proportional to 6,698.24, 9,243.56 and 3,714 is: 5,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.24 : 9,243.56 = 3,714 : x
  2. Step 2: Convert to fraction form
    6,698.24/9,243.56 = 3,714/x
  3. Step 3: Cross multiply
    6,698.24x = 9,243.56 × 3,714
  4. Step 4: Simplify right side
    6,698.24x = 34,330,577.20
  5. Step 5: Solve for x
    x = 34,330,577.20/6,698.24
  6. Step 6: Final answer
    x = 5,125.31

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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.