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Finding the Fourth Proportional to 6,802.68, 10,206.95 and 3,684.92

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Solution

The fourth proportional to 6,802.68, 10,206.95 and 3,684.92 is: 5,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.68 : 10,206.95 = 3,684.92 : x
  2. Step 2: Convert to fraction form
    6,802.68/10,206.95 = 3,684.92/x
  3. Step 3: Cross multiply
    6,802.68x = 10,206.95 × 3,684.92
  4. Step 4: Simplify right side
    6,802.68x = 37,611,724.73
  5. Step 5: Solve for x
    x = 37,611,724.73/6,802.68
  6. Step 6: Final answer
    x = 5,528.96

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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.