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Finding the Fourth Proportional to 12,649.72, 18,975.49 and 4,858.53

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Solution

The fourth proportional to 12,649.72, 18,975.49 and 4,858.53 is: 7,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.72 : 18,975.49 = 4,858.53 : x
  2. Step 2: Convert to fraction form
    12,649.72/18,975.49 = 4,858.53/x
  3. Step 3: Cross multiply
    12,649.72x = 18,975.49 × 4,858.53
  4. Step 4: Simplify right side
    12,649.72x = 92,192,987.43
  5. Step 5: Solve for x
    x = 92,192,987.43/12,649.72
  6. Step 6: Final answer
    x = 7,288.14

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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.