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Finding the Fourth Proportional to 6,945.72, 10,419.72 and 2,264.37

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Solution

The fourth proportional to 6,945.72, 10,419.72 and 2,264.37 is: 3,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.72 : 10,419.72 = 2,264.37 : x
  2. Step 2: Convert to fraction form
    6,945.72/10,419.72 = 2,264.37/x
  3. Step 3: Cross multiply
    6,945.72x = 10,419.72 × 2,264.37
  4. Step 4: Simplify right side
    6,945.72x = 23,594,101.38
  5. Step 5: Solve for x
    x = 23,594,101.38/6,945.72
  6. Step 6: Final answer
    x = 3,396.93

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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.