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Finding the Fourth Proportional to 6,702.83, 10,051.00 and 3,930.40

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Solution

The fourth proportional to 6,702.83, 10,051.00 and 3,930.40 is: 5,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.83 : 10,051.00 = 3,930.40 : x
  2. Step 2: Convert to fraction form
    6,702.83/10,051.00 = 3,930.40/x
  3. Step 3: Cross multiply
    6,702.83x = 10,051.00 × 3,930.40
  4. Step 4: Simplify right side
    6,702.83x = 39,504,415.45
  5. Step 5: Solve for x
    x = 39,504,415.45/6,702.83
  6. Step 6: Final answer
    x = 5,893.70

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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.