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Finding the Fourth Proportional to 9,751.13, 13,451.09 and 5,976.12

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Solution

The fourth proportional to 9,751.13, 13,451.09 and 5,976.12 is: 8,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.13 : 13,451.09 = 5,976.12 : x
  2. Step 2: Convert to fraction form
    9,751.13/13,451.09 = 5,976.12/x
  3. Step 3: Cross multiply
    9,751.13x = 13,451.09 × 5,976.12
  4. Step 4: Simplify right side
    9,751.13x = 80,385,298.09
  5. Step 5: Solve for x
    x = 80,385,298.09/9,751.13
  6. Step 6: Final answer
    x = 8,243.69

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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.