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Finding the Fourth Proportional to 6,278.34, 9,415.56 and 2,117.43

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Solution

The fourth proportional to 6,278.34, 9,415.56 and 2,117.43 is: 3,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.34 : 9,415.56 = 2,117.43 : x
  2. Step 2: Convert to fraction form
    6,278.34/9,415.56 = 2,117.43/x
  3. Step 3: Cross multiply
    6,278.34x = 9,415.56 × 2,117.43
  4. Step 4: Simplify right side
    6,278.34x = 19,936,789.21
  5. Step 5: Solve for x
    x = 19,936,789.21/6,278.34
  6. Step 6: Final answer
    x = 3,175.49

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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.