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Finding the Fourth Proportional to 6,705.66, 10,040.04 and 3,402.61

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Solution

The fourth proportional to 6,705.66, 10,040.04 and 3,402.61 is: 5,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.66 : 10,040.04 = 3,402.61 : x
  2. Step 2: Convert to fraction form
    6,705.66/10,040.04 = 3,402.61/x
  3. Step 3: Cross multiply
    6,705.66x = 10,040.04 × 3,402.61
  4. Step 4: Simplify right side
    6,705.66x = 34,162,310.62
  5. Step 5: Solve for x
    x = 34,162,310.62/6,705.66
  6. Step 6: Final answer
    x = 5,094.55

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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.