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Finding the Fourth Proportional to 6,911.56, 9,530.42 and 4,669.54

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Solution

The fourth proportional to 6,911.56, 9,530.42 and 4,669.54 is: 6,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.56 : 9,530.42 = 4,669.54 : x
  2. Step 2: Convert to fraction form
    6,911.56/9,530.42 = 4,669.54/x
  3. Step 3: Cross multiply
    6,911.56x = 9,530.42 × 4,669.54
  4. Step 4: Simplify right side
    6,911.56x = 44,502,665.97
  5. Step 5: Solve for x
    x = 44,502,665.97/6,911.56
  6. Step 6: Final answer
    x = 6,438.87

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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.