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Finding the Fourth Proportional to 6,809.76, 10,216.24 and 2,192.76

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Solution

The fourth proportional to 6,809.76, 10,216.24 and 2,192.76 is: 3,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.76 : 10,216.24 = 2,192.76 : x
  2. Step 2: Convert to fraction form
    6,809.76/10,216.24 = 2,192.76/x
  3. Step 3: Cross multiply
    6,809.76x = 10,216.24 × 2,192.76
  4. Step 4: Simplify right side
    6,809.76x = 22,401,762.42
  5. Step 5: Solve for x
    x = 22,401,762.42/6,809.76
  6. Step 6: Final answer
    x = 3,289.66

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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.