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Finding the Fourth Proportional to 12,354.48, 18,537.96 and 6,198

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Solution

The fourth proportional to 12,354.48, 18,537.96 and 6,198 is: 9,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.48 : 18,537.96 = 6,198 : x
  2. Step 2: Convert to fraction form
    12,354.48/18,537.96 = 6,198/x
  3. Step 3: Cross multiply
    12,354.48x = 18,537.96 × 6,198
  4. Step 4: Simplify right side
    12,354.48x = 114,898,276.08
  5. Step 5: Solve for x
    x = 114,898,276.08/12,354.48
  6. Step 6: Final answer
    x = 9,300.13

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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.