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Finding the Fourth Proportional to 8,326.46, 11,484.78 and 5,936.16

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Solution

The fourth proportional to 8,326.46, 11,484.78 and 5,936.16 is: 8,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.46 : 11,484.78 = 5,936.16 : x
  2. Step 2: Convert to fraction form
    8,326.46/11,484.78 = 5,936.16/x
  3. Step 3: Cross multiply
    8,326.46x = 11,484.78 × 5,936.16
  4. Step 4: Simplify right side
    8,326.46x = 68,175,491.64
  5. Step 5: Solve for x
    x = 68,175,491.64/8,326.46
  6. Step 6: Final answer
    x = 8,187.81

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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.