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Finding the Fourth Proportional to 6,655.72, 9,174.72 and 5,593

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Solution

The fourth proportional to 6,655.72, 9,174.72 and 5,593 is: 7,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.72 : 9,174.72 = 5,593 : x
  2. Step 2: Convert to fraction form
    6,655.72/9,174.72 = 5,593/x
  3. Step 3: Cross multiply
    6,655.72x = 9,174.72 × 5,593
  4. Step 4: Simplify right side
    6,655.72x = 51,314,208.96
  5. Step 5: Solve for x
    x = 51,314,208.96/6,655.72
  6. Step 6: Final answer
    x = 7,709.79

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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.