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Finding the Fourth Proportional to 6,809.84, 9,397.08 and 3,826.18

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Solution

The fourth proportional to 6,809.84, 9,397.08 and 3,826.18 is: 5,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.84 : 9,397.08 = 3,826.18 : x
  2. Step 2: Convert to fraction form
    6,809.84/9,397.08 = 3,826.18/x
  3. Step 3: Cross multiply
    6,809.84x = 9,397.08 × 3,826.18
  4. Step 4: Simplify right side
    6,809.84x = 35,954,878.44
  5. Step 5: Solve for x
    x = 35,954,878.44/6,809.84
  6. Step 6: Final answer
    x = 5,279.84

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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.