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Finding the Fourth Proportional to 6,817.86, 10,239.12 and 6,269.04

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Solution

The fourth proportional to 6,817.86, 10,239.12 and 6,269.04 is: 9,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.86 : 10,239.12 = 6,269.04 : x
  2. Step 2: Convert to fraction form
    6,817.86/10,239.12 = 6,269.04/x
  3. Step 3: Cross multiply
    6,817.86x = 10,239.12 × 6,269.04
  4. Step 4: Simplify right side
    6,817.86x = 64,189,452.84
  5. Step 5: Solve for x
    x = 64,189,452.84/6,817.86
  6. Step 6: Final answer
    x = 9,414.90

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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.