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Finding the Fourth Proportional to 8,837, 13,255.50 and 2,681

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Solution

The fourth proportional to 8,837, 13,255.50 and 2,681 is: 4,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837 : 13,255.50 = 2,681 : x
  2. Step 2: Convert to fraction form
    8,837/13,255.50 = 2,681/x
  3. Step 3: Cross multiply
    8,837x = 13,255.50 × 2,681
  4. Step 4: Simplify right side
    8,837x = 35,537,995.50
  5. Step 5: Solve for x
    x = 35,537,995.50/8,837
  6. Step 6: Final answer
    x = 4,021.50

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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.