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Finding the Fourth Proportional to 7,702.06, 11,553.10 and 2,507.94

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Solution

The fourth proportional to 7,702.06, 11,553.10 and 2,507.94 is: 3,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.06 : 11,553.10 = 2,507.94 : x
  2. Step 2: Convert to fraction form
    7,702.06/11,553.10 = 2,507.94/x
  3. Step 3: Cross multiply
    7,702.06x = 11,553.10 × 2,507.94
  4. Step 4: Simplify right side
    7,702.06x = 28,974,481.61
  5. Step 5: Solve for x
    x = 28,974,481.61/7,702.06
  6. Step 6: Final answer
    x = 3,761.91

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1.5x scale

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.