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Finding the Fourth Proportional to 9,305.84, 12,845.42 and 6,163.04

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Solution

The fourth proportional to 9,305.84, 12,845.42 and 6,163.04 is: 8,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.84 : 12,845.42 = 6,163.04 : x
  2. Step 2: Convert to fraction form
    9,305.84/12,845.42 = 6,163.04/x
  3. Step 3: Cross multiply
    9,305.84x = 12,845.42 × 6,163.04
  4. Step 4: Simplify right side
    9,305.84x = 79,166,837.28
  5. Step 5: Solve for x
    x = 79,166,837.28/9,305.84
  6. Step 6: Final answer
    x = 8,507.22

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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.