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Finding the Fourth Proportional to 6,809.16, 10,214.10 and 2,192.28

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Solution

The fourth proportional to 6,809.16, 10,214.10 and 2,192.28 is: 3,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.16 : 10,214.10 = 2,192.28 : x
  2. Step 2: Convert to fraction form
    6,809.16/10,214.10 = 2,192.28/x
  3. Step 3: Cross multiply
    6,809.16x = 10,214.10 × 2,192.28
  4. Step 4: Simplify right side
    6,809.16x = 22,392,167.15
  5. Step 5: Solve for x
    x = 22,392,167.15/6,809.16
  6. Step 6: Final answer
    x = 3,288.54

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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.