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Finding the Fourth Proportional to 12,049.86, 16,628.98 and 6,744.63

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Solution

The fourth proportional to 12,049.86, 16,628.98 and 6,744.63 is: 9,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.86 : 16,628.98 = 6,744.63 : x
  2. Step 2: Convert to fraction form
    12,049.86/16,628.98 = 6,744.63/x
  3. Step 3: Cross multiply
    12,049.86x = 16,628.98 × 6,744.63
  4. Step 4: Simplify right side
    12,049.86x = 112,156,317.38
  5. Step 5: Solve for x
    x = 112,156,317.38/12,049.86
  6. Step 6: Final answer
    x = 9,307.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.