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Finding the Fourth Proportional to 9,791.49, 14,705.77 and 6,119.49

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Solution

The fourth proportional to 9,791.49, 14,705.77 and 6,119.49 is: 9,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.49 : 14,705.77 = 6,119.49 : x
  2. Step 2: Convert to fraction form
    9,791.49/14,705.77 = 6,119.49/x
  3. Step 3: Cross multiply
    9,791.49x = 14,705.77 × 6,119.49
  4. Step 4: Simplify right side
    9,791.49x = 89,991,812.46
  5. Step 5: Solve for x
    x = 89,991,812.46/9,791.49
  6. Step 6: Final answer
    x = 9,190.82

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1.5x scale

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.