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Finding the Fourth Proportional to 9,881, 14,824.94 and 4,949.54

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Solution

The fourth proportional to 9,881, 14,824.94 and 4,949.54 is: 7,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881 : 14,824.94 = 4,949.54 : x
  2. Step 2: Convert to fraction form
    9,881/14,824.94 = 4,949.54/x
  3. Step 3: Cross multiply
    9,881x = 14,824.94 × 4,949.54
  4. Step 4: Simplify right side
    9,881x = 73,376,633.53
  5. Step 5: Solve for x
    x = 73,376,633.53/9,881
  6. Step 6: Final answer
    x = 7,426.03

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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.