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Finding the Fourth Proportional to 8,524.74, 11,763.44 and 4,747.62

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Solution

The fourth proportional to 8,524.74, 11,763.44 and 4,747.62 is: 6,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.74 : 11,763.44 = 4,747.62 : x
  2. Step 2: Convert to fraction form
    8,524.74/11,763.44 = 4,747.62/x
  3. Step 3: Cross multiply
    8,524.74x = 11,763.44 × 4,747.62
  4. Step 4: Simplify right side
    8,524.74x = 55,848,343.01
  5. Step 5: Solve for x
    x = 55,848,343.01/8,524.74
  6. Step 6: Final answer
    x = 6,551.33

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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.