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Finding the Fourth Proportional to 8,553.12, 11,804.13 and 5,195.16

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Solution

The fourth proportional to 8,553.12, 11,804.13 and 5,195.16 is: 7,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.12 : 11,804.13 = 5,195.16 : x
  2. Step 2: Convert to fraction form
    8,553.12/11,804.13 = 5,195.16/x
  3. Step 3: Cross multiply
    8,553.12x = 11,804.13 × 5,195.16
  4. Step 4: Simplify right side
    8,553.12x = 61,324,344.01
  5. Step 5: Solve for x
    x = 61,324,344.01/8,553.12
  6. Step 6: Final answer
    x = 7,169.82

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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.