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Finding the Fourth Proportional to 9,498.50, 14,251.07 and 4,233.98

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Solution

The fourth proportional to 9,498.50, 14,251.07 and 4,233.98 is: 6,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.50 : 14,251.07 = 4,233.98 : x
  2. Step 2: Convert to fraction form
    9,498.50/14,251.07 = 4,233.98/x
  3. Step 3: Cross multiply
    9,498.50x = 14,251.07 × 4,233.98
  4. Step 4: Simplify right side
    9,498.50x = 60,338,652.93
  5. Step 5: Solve for x
    x = 60,338,652.93/9,498.50
  6. Step 6: Final answer
    x = 6,352.44

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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.