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Finding the Fourth Proportional to 6,807.08, 10,206.14 and 3,290.14

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Solution

The fourth proportional to 6,807.08, 10,206.14 and 3,290.14 is: 4,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.08 : 10,206.14 = 3,290.14 : x
  2. Step 2: Convert to fraction form
    6,807.08/10,206.14 = 3,290.14/x
  3. Step 3: Cross multiply
    6,807.08x = 10,206.14 × 3,290.14
  4. Step 4: Simplify right side
    6,807.08x = 33,579,629.46
  5. Step 5: Solve for x
    x = 33,579,629.46/6,807.08
  6. Step 6: Final answer
    x = 4,933.04

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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.