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Finding the Fourth Proportional to 6,414.94, 9,614.94 and 2,715.94

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Solution

The fourth proportional to 6,414.94, 9,614.94 and 2,715.94 is: 4,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.94 : 9,614.94 = 2,715.94 : x
  2. Step 2: Convert to fraction form
    6,414.94/9,614.94 = 2,715.94/x
  3. Step 3: Cross multiply
    6,414.94x = 9,614.94 × 2,715.94
  4. Step 4: Simplify right side
    6,414.94x = 26,113,600.14
  5. Step 5: Solve for x
    x = 26,113,600.14/6,414.94
  6. Step 6: Final answer
    x = 4,070.75

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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.