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Finding the Fourth Proportional to 6,803.46, 9,388.53 and 3,819.46

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Solution

The fourth proportional to 6,803.46, 9,388.53 and 3,819.46 is: 5,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.46 : 9,388.53 = 3,819.46 : x
  2. Step 2: Convert to fraction form
    6,803.46/9,388.53 = 3,819.46/x
  3. Step 3: Cross multiply
    6,803.46x = 9,388.53 × 3,819.46
  4. Step 4: Simplify right side
    6,803.46x = 35,859,114.79
  5. Step 5: Solve for x
    x = 35,859,114.79/6,803.46
  6. Step 6: Final answer
    x = 5,270.72

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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.