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Finding the Fourth Proportional to 6,678.66, 10,009.35 and 3,166.50

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Solution

The fourth proportional to 6,678.66, 10,009.35 and 3,166.50 is: 4,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.66 : 10,009.35 = 3,166.50 : x
  2. Step 2: Convert to fraction form
    6,678.66/10,009.35 = 3,166.50/x
  3. Step 3: Cross multiply
    6,678.66x = 10,009.35 × 3,166.50
  4. Step 4: Simplify right side
    6,678.66x = 31,694,606.78
  5. Step 5: Solve for x
    x = 31,694,606.78/6,678.66
  6. Step 6: Final answer
    x = 4,745.65

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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.