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Finding the Fourth Proportional to 6,827.13, 10,229.76 and 6,171.03

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Solution

The fourth proportional to 6,827.13, 10,229.76 and 6,171.03 is: 9,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.13 : 10,229.76 = 6,171.03 : x
  2. Step 2: Convert to fraction form
    6,827.13/10,229.76 = 6,171.03/x
  3. Step 3: Cross multiply
    6,827.13x = 10,229.76 × 6,171.03
  4. Step 4: Simplify right side
    6,827.13x = 63,128,155.85
  5. Step 5: Solve for x
    x = 63,128,155.85/6,827.13
  6. Step 6: Final answer
    x = 9,246.66

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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.