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Finding the Fourth Proportional to 8,548.09, 12,822.14 and 6,827.65

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Solution

The fourth proportional to 8,548.09, 12,822.14 and 6,827.65 is: 10,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.09 : 12,822.14 = 6,827.65 : x
  2. Step 2: Convert to fraction form
    8,548.09/12,822.14 = 6,827.65/x
  3. Step 3: Cross multiply
    8,548.09x = 12,822.14 × 6,827.65
  4. Step 4: Simplify right side
    8,548.09x = 87,545,084.17
  5. Step 5: Solve for x
    x = 87,545,084.17/8,548.09
  6. Step 6: Final answer
    x = 10,241.48

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.