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Finding the Fourth Proportional to 6,702.38, 10,055.18 and 3,007.18

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Solution

The fourth proportional to 6,702.38, 10,055.18 and 3,007.18 is: 4,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.38 : 10,055.18 = 3,007.18 : x
  2. Step 2: Convert to fraction form
    6,702.38/10,055.18 = 3,007.18/x
  3. Step 3: Cross multiply
    6,702.38x = 10,055.18 × 3,007.18
  4. Step 4: Simplify right side
    6,702.38x = 30,237,736.19
  5. Step 5: Solve for x
    x = 30,237,736.19/6,702.38
  6. Step 6: Final answer
    x = 4,511.49

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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.