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Finding the Fourth Proportional to 9,768.96, 14,650.63 and 2,748.49

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Solution

The fourth proportional to 9,768.96, 14,650.63 and 2,748.49 is: 4,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.96 : 14,650.63 = 2,748.49 : x
  2. Step 2: Convert to fraction form
    9,768.96/14,650.63 = 2,748.49/x
  3. Step 3: Cross multiply
    9,768.96x = 14,650.63 × 2,748.49
  4. Step 4: Simplify right side
    9,768.96x = 40,267,066.55
  5. Step 5: Solve for x
    x = 40,267,066.55/9,768.96
  6. Step 6: Final answer
    x = 4,121.94

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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.