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Finding the Fourth Proportional to 9,898.72, 14,852.41 and 8,583.79

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Solution

The fourth proportional to 9,898.72, 14,852.41 and 8,583.79 is: 12,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.72 : 14,852.41 = 8,583.79 : x
  2. Step 2: Convert to fraction form
    9,898.72/14,852.41 = 8,583.79/x
  3. Step 3: Cross multiply
    9,898.72x = 14,852.41 × 8,583.79
  4. Step 4: Simplify right side
    9,898.72x = 127,489,968.43
  5. Step 5: Solve for x
    x = 127,489,968.43/9,898.72
  6. Step 6: Final answer
    x = 12,879.44

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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.