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Finding the Fourth Proportional to 6,894.13, 10,337.62 and 3,382.60

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Solution

The fourth proportional to 6,894.13, 10,337.62 and 3,382.60 is: 5,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.13 : 10,337.62 = 3,382.60 : x
  2. Step 2: Convert to fraction form
    6,894.13/10,337.62 = 3,382.60/x
  3. Step 3: Cross multiply
    6,894.13x = 10,337.62 × 3,382.60
  4. Step 4: Simplify right side
    6,894.13x = 34,968,016.50
  5. Step 5: Solve for x
    x = 34,968,016.50/6,894.13
  6. Step 6: Final answer
    x = 5,072.14

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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.