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Finding the Fourth Proportional to 24,954, 37,433.16 and 6,486

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Solution

The fourth proportional to 24,954, 37,433.16 and 6,486 is: 9,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954 : 37,433.16 = 6,486 : x
  2. Step 2: Convert to fraction form
    24,954/37,433.16 = 6,486/x
  3. Step 3: Cross multiply
    24,954x = 37,433.16 × 6,486
  4. Step 4: Simplify right side
    24,954x = 242,791,475.76
  5. Step 5: Solve for x
    x = 242,791,475.76/24,954
  6. Step 6: Final answer
    x = 9,729.56

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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.