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Finding the Fourth Proportional to 7,757.13, 10,702.22 and 5,107.22

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Solution

The fourth proportional to 7,757.13, 10,702.22 and 5,107.22 is: 7,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.13 : 10,702.22 = 5,107.22 : x
  2. Step 2: Convert to fraction form
    7,757.13/10,702.22 = 5,107.22/x
  3. Step 3: Cross multiply
    7,757.13x = 10,702.22 × 5,107.22
  4. Step 4: Simplify right side
    7,757.13x = 54,658,512.98
  5. Step 5: Solve for x
    x = 54,658,512.98/7,757.13
  6. Step 6: Final answer
    x = 7,046.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.