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Finding the Fourth Proportional to 8,596, 12,894.48 and 2,440.48

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Solution

The fourth proportional to 8,596, 12,894.48 and 2,440.48 is: 3,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 12,894.48 = 2,440.48 : x
  2. Step 2: Convert to fraction form
    8,596/12,894.48 = 2,440.48/x
  3. Step 3: Cross multiply
    8,596x = 12,894.48 × 2,440.48
  4. Step 4: Simplify right side
    8,596x = 31,468,720.55
  5. Step 5: Solve for x
    x = 31,468,720.55/8,596
  6. Step 6: Final answer
    x = 3,660.86

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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.