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Finding the Fourth Proportional to 6,702.40, 10,051.80 and 2,022.40

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Solution

The fourth proportional to 6,702.40, 10,051.80 and 2,022.40 is: 3,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.40 : 10,051.80 = 2,022.40 : x
  2. Step 2: Convert to fraction form
    6,702.40/10,051.80 = 2,022.40/x
  3. Step 3: Cross multiply
    6,702.40x = 10,051.80 × 2,022.40
  4. Step 4: Simplify right side
    6,702.40x = 20,328,760.32
  5. Step 5: Solve for x
    x = 20,328,760.32/6,702.40
  6. Step 6: Final answer
    x = 3,033.06

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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.