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Finding the Fourth Proportional to 10,047, 15,071.03 and 2,651.54

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Solution

The fourth proportional to 10,047, 15,071.03 and 2,651.54 is: 3,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047 : 15,071.03 = 2,651.54 : x
  2. Step 2: Convert to fraction form
    10,047/15,071.03 = 2,651.54/x
  3. Step 3: Cross multiply
    10,047x = 15,071.03 × 2,651.54
  4. Step 4: Simplify right side
    10,047x = 39,961,350.27
  5. Step 5: Solve for x
    x = 39,961,350.27/10,047
  6. Step 6: Final answer
    x = 3,977.44

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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.