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Finding the Fourth Proportional to 6,738.89, 9,292.19 and 5,523.89

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Solution

The fourth proportional to 6,738.89, 9,292.19 and 5,523.89 is: 7,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.89 : 9,292.19 = 5,523.89 : x
  2. Step 2: Convert to fraction form
    6,738.89/9,292.19 = 5,523.89/x
  3. Step 3: Cross multiply
    6,738.89x = 9,292.19 × 5,523.89
  4. Step 4: Simplify right side
    6,738.89x = 51,328,961.34
  5. Step 5: Solve for x
    x = 51,328,961.34/6,738.89
  6. Step 6: Final answer
    x = 7,616.83

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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.