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Finding the Fourth Proportional to 8,597.70, 12,895.92 and 2,674.44

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Solution

The fourth proportional to 8,597.70, 12,895.92 and 2,674.44 is: 4,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.70 : 12,895.92 = 2,674.44 : x
  2. Step 2: Convert to fraction form
    8,597.70/12,895.92 = 2,674.44/x
  3. Step 3: Cross multiply
    8,597.70x = 12,895.92 × 2,674.44
  4. Step 4: Simplify right side
    8,597.70x = 34,489,364.28
  5. Step 5: Solve for x
    x = 34,489,364.28/8,597.70
  6. Step 6: Final answer
    x = 4,011.46

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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.