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Finding the Fourth Proportional to 10,047, 15,076.98 and 3,891

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Solution

The fourth proportional to 10,047, 15,076.98 and 3,891 is: 5,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047 : 15,076.98 = 3,891 : x
  2. Step 2: Convert to fraction form
    10,047/15,076.98 = 3,891/x
  3. Step 3: Cross multiply
    10,047x = 15,076.98 × 3,891
  4. Step 4: Simplify right side
    10,047x = 58,664,529.18
  5. Step 5: Solve for x
    x = 58,664,529.18/10,047
  6. Step 6: Final answer
    x = 5,839.01

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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.