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Finding the Fourth Proportional to 7,614.56, 11,422.19 and 2,684.25

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Solution

The fourth proportional to 7,614.56, 11,422.19 and 2,684.25 is: 4,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.56 : 11,422.19 = 2,684.25 : x
  2. Step 2: Convert to fraction form
    7,614.56/11,422.19 = 2,684.25/x
  3. Step 3: Cross multiply
    7,614.56x = 11,422.19 × 2,684.25
  4. Step 4: Simplify right side
    7,614.56x = 30,660,013.51
  5. Step 5: Solve for x
    x = 30,660,013.51/7,614.56
  6. Step 6: Final answer
    x = 4,026.50

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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.