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Finding the Fourth Proportional to 6,808.84, 10,213.92 and 2,649.16

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Solution

The fourth proportional to 6,808.84, 10,213.92 and 2,649.16 is: 3,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.84 : 10,213.92 = 2,649.16 : x
  2. Step 2: Convert to fraction form
    6,808.84/10,213.92 = 2,649.16/x
  3. Step 3: Cross multiply
    6,808.84x = 10,213.92 × 2,649.16
  4. Step 4: Simplify right side
    6,808.84x = 27,058,308.31
  5. Step 5: Solve for x
    x = 27,058,308.31/6,808.84
  6. Step 6: Final answer
    x = 3,974.00

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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.