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Finding the Fourth Proportional to 9,157.59, 13,735.14 and 2,584.31

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Solution

The fourth proportional to 9,157.59, 13,735.14 and 2,584.31 is: 3,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.59 : 13,735.14 = 2,584.31 : x
  2. Step 2: Convert to fraction form
    9,157.59/13,735.14 = 2,584.31/x
  3. Step 3: Cross multiply
    9,157.59x = 13,735.14 × 2,584.31
  4. Step 4: Simplify right side
    9,157.59x = 35,495,790.98
  5. Step 5: Solve for x
    x = 35,495,790.98/9,157.59
  6. Step 6: Final answer
    x = 3,876.11

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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.