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Finding the Fourth Proportional to 6,470.58, 9,696.60 and 3,691.50

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Solution

The fourth proportional to 6,470.58, 9,696.60 and 3,691.50 is: 5,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.58 : 9,696.60 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    6,470.58/9,696.60 = 3,691.50/x
  3. Step 3: Cross multiply
    6,470.58x = 9,696.60 × 3,691.50
  4. Step 4: Simplify right side
    6,470.58x = 35,794,998.90
  5. Step 5: Solve for x
    x = 35,794,998.90/6,470.58
  6. Step 6: Final answer
    x = 5,531.96

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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.