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Finding the Fourth Proportional to 6,809.84, 9,396.68 and 3,825.66

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Solution

The fourth proportional to 6,809.84, 9,396.68 and 3,825.66 is: 5,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.84 : 9,396.68 = 3,825.66 : x
  2. Step 2: Convert to fraction form
    6,809.84/9,396.68 = 3,825.66/x
  3. Step 3: Cross multiply
    6,809.84x = 9,396.68 × 3,825.66
  4. Step 4: Simplify right side
    6,809.84x = 35,948,502.81
  5. Step 5: Solve for x
    x = 35,948,502.81/6,809.84
  6. Step 6: Final answer
    x = 5,278.91

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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.