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Finding the Fourth Proportional to 9,751.77, 13,451.67 and 5,976.63

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Solution

The fourth proportional to 9,751.77, 13,451.67 and 5,976.63 is: 8,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.77 : 13,451.67 = 5,976.63 : x
  2. Step 2: Convert to fraction form
    9,751.77/13,451.67 = 5,976.63/x
  3. Step 3: Cross multiply
    9,751.77x = 13,451.67 × 5,976.63
  4. Step 4: Simplify right side
    9,751.77x = 80,395,654.47
  5. Step 5: Solve for x
    x = 80,395,654.47/9,751.77
  6. Step 6: Final answer
    x = 8,244.21

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1.5x scale

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.