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Finding the Fourth Proportional to 14,098.50, 21,148.09 and 4,738.64

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Solution

The fourth proportional to 14,098.50, 21,148.09 and 4,738.64 is: 7,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.50 : 21,148.09 = 4,738.64 : x
  2. Step 2: Convert to fraction form
    14,098.50/21,148.09 = 4,738.64/x
  3. Step 3: Cross multiply
    14,098.50x = 21,148.09 × 4,738.64
  4. Step 4: Simplify right side
    14,098.50x = 100,213,067.61
  5. Step 5: Solve for x
    x = 100,213,067.61/14,098.50
  6. Step 6: Final answer
    x = 7,108.07

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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.