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Finding the Fourth Proportional to 8,437.35, 11,644.97 and 4,902.61

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Solution

The fourth proportional to 8,437.35, 11,644.97 and 4,902.61 is: 6,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.35 : 11,644.97 = 4,902.61 : x
  2. Step 2: Convert to fraction form
    8,437.35/11,644.97 = 4,902.61/x
  3. Step 3: Cross multiply
    8,437.35x = 11,644.97 × 4,902.61
  4. Step 4: Simplify right side
    8,437.35x = 57,090,692.75
  5. Step 5: Solve for x
    x = 57,090,692.75/8,437.35
  6. Step 6: Final answer
    x = 6,766.42

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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.