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Finding the Fourth Proportional to 6,174.51, 9,261.96 and 2,278

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Solution

The fourth proportional to 6,174.51, 9,261.96 and 2,278 is: 3,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.51 : 9,261.96 = 2,278 : x
  2. Step 2: Convert to fraction form
    6,174.51/9,261.96 = 2,278/x
  3. Step 3: Cross multiply
    6,174.51x = 9,261.96 × 2,278
  4. Step 4: Simplify right side
    6,174.51x = 21,098,744.88
  5. Step 5: Solve for x
    x = 21,098,744.88/6,174.51
  6. Step 6: Final answer
    x = 3,417.07

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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.