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Finding the Fourth Proportional to 6,362.02, 9,543.94 and 2,414.76

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Solution

The fourth proportional to 6,362.02, 9,543.94 and 2,414.76 is: 3,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.02 : 9,543.94 = 2,414.76 : x
  2. Step 2: Convert to fraction form
    6,362.02/9,543.94 = 2,414.76/x
  3. Step 3: Cross multiply
    6,362.02x = 9,543.94 × 2,414.76
  4. Step 4: Simplify right side
    6,362.02x = 23,046,324.55
  5. Step 5: Solve for x
    x = 23,046,324.55/6,362.02
  6. Step 6: Final answer
    x = 3,622.49

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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.