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Finding the Fourth Proportional to 6,610.41, 9,917.28 and 4,666.41

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Solution

The fourth proportional to 6,610.41, 9,917.28 and 4,666.41 is: 7,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.41 : 9,917.28 = 4,666.41 : x
  2. Step 2: Convert to fraction form
    6,610.41/9,917.28 = 4,666.41/x
  3. Step 3: Cross multiply
    6,610.41x = 9,917.28 × 4,666.41
  4. Step 4: Simplify right side
    6,610.41x = 46,278,094.56
  5. Step 5: Solve for x
    x = 46,278,094.56/6,610.41
  6. Step 6: Final answer
    x = 7,000.79

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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.