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Finding the Fourth Proportional to 6,803.84, 10,205.76 and 2,186.88

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Solution

The fourth proportional to 6,803.84, 10,205.76 and 2,186.88 is: 3,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.84 : 10,205.76 = 2,186.88 : x
  2. Step 2: Convert to fraction form
    6,803.84/10,205.76 = 2,186.88/x
  3. Step 3: Cross multiply
    6,803.84x = 10,205.76 × 2,186.88
  4. Step 4: Simplify right side
    6,803.84x = 22,318,772.43
  5. Step 5: Solve for x
    x = 22,318,772.43/6,803.84
  6. Step 6: Final answer
    x = 3,280.32

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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.