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Finding the Fourth Proportional to 9,924.56, 14,889 and 3,350.47

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Solution

The fourth proportional to 9,924.56, 14,889 and 3,350.47 is: 5,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.56 : 14,889 = 3,350.47 : x
  2. Step 2: Convert to fraction form
    9,924.56/14,889 = 3,350.47/x
  3. Step 3: Cross multiply
    9,924.56x = 14,889 × 3,350.47
  4. Step 4: Simplify right side
    9,924.56x = 49,885,073.39
  5. Step 5: Solve for x
    x = 49,885,073.39/9,924.56
  6. Step 6: Final answer
    x = 5,026.43

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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.