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Finding the Fourth Proportional to 9,898.64, 14,848.11 and 3,324.88

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Solution

The fourth proportional to 9,898.64, 14,848.11 and 3,324.88 is: 4,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.64 : 14,848.11 = 3,324.88 : x
  2. Step 2: Convert to fraction form
    9,898.64/14,848.11 = 3,324.88/x
  3. Step 3: Cross multiply
    9,898.64x = 14,848.11 × 3,324.88
  4. Step 4: Simplify right side
    9,898.64x = 49,368,183.98
  5. Step 5: Solve for x
    x = 49,368,183.98/9,898.64
  6. Step 6: Final answer
    x = 4,987.37

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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.