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Finding the Fourth Proportional to 6,707.72, 9,256.50 and 3,723.50

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Solution

The fourth proportional to 6,707.72, 9,256.50 and 3,723.50 is: 5,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.72 : 9,256.50 = 3,723.50 : x
  2. Step 2: Convert to fraction form
    6,707.72/9,256.50 = 3,723.50/x
  3. Step 3: Cross multiply
    6,707.72x = 9,256.50 × 3,723.50
  4. Step 4: Simplify right side
    6,707.72x = 34,466,577.75
  5. Step 5: Solve for x
    x = 34,466,577.75/6,707.72
  6. Step 6: Final answer
    x = 5,138.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.