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Finding the Fourth Proportional to 13,837, 20,755.68 and 4,603

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Solution

The fourth proportional to 13,837, 20,755.68 and 4,603 is: 6,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837 : 20,755.68 = 4,603 : x
  2. Step 2: Convert to fraction form
    13,837/20,755.68 = 4,603/x
  3. Step 3: Cross multiply
    13,837x = 20,755.68 × 4,603
  4. Step 4: Simplify right side
    13,837x = 95,538,395.04
  5. Step 5: Solve for x
    x = 95,538,395.04/13,837
  6. Step 6: Final answer
    x = 6,904.56

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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.