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Finding the Fourth Proportional to 6,803.46, 10,206.20 and 2,419.86

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Solution

The fourth proportional to 6,803.46, 10,206.20 and 2,419.86 is: 3,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.46 : 10,206.20 = 2,419.86 : x
  2. Step 2: Convert to fraction form
    6,803.46/10,206.20 = 2,419.86/x
  3. Step 3: Cross multiply
    6,803.46x = 10,206.20 × 2,419.86
  4. Step 4: Simplify right side
    6,803.46x = 24,697,575.13
  5. Step 5: Solve for x
    x = 24,697,575.13/6,803.46
  6. Step 6: Final answer
    x = 3,630.15

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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.