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Finding the Fourth Proportional to 6,145.70, 9,216.20 and 2,196.22

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Solution

The fourth proportional to 6,145.70, 9,216.20 and 2,196.22 is: 3,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.70 : 9,216.20 = 2,196.22 : x
  2. Step 2: Convert to fraction form
    6,145.70/9,216.20 = 2,196.22/x
  3. Step 3: Cross multiply
    6,145.70x = 9,216.20 × 2,196.22
  4. Step 4: Simplify right side
    6,145.70x = 20,240,798.38
  5. Step 5: Solve for x
    x = 20,240,798.38/6,145.70
  6. Step 6: Final answer
    x = 3,293.49

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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.