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Finding the Fourth Proportional to 6,823.19, 10,238.02 and 2,206.19

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Solution

The fourth proportional to 6,823.19, 10,238.02 and 2,206.19 is: 3,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.19 : 10,238.02 = 2,206.19 : x
  2. Step 2: Convert to fraction form
    6,823.19/10,238.02 = 2,206.19/x
  3. Step 3: Cross multiply
    6,823.19x = 10,238.02 × 2,206.19
  4. Step 4: Simplify right side
    6,823.19x = 22,587,017.34
  5. Step 5: Solve for x
    x = 22,587,017.34/6,823.19
  6. Step 6: Final answer
    x = 3,310.33

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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.