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Finding the Fourth Proportional to 8,524.14, 11,763.63 and 4,747.31

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Solution

The fourth proportional to 8,524.14, 11,763.63 and 4,747.31 is: 6,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.14 : 11,763.63 = 4,747.31 : x
  2. Step 2: Convert to fraction form
    8,524.14/11,763.63 = 4,747.31/x
  3. Step 3: Cross multiply
    8,524.14x = 11,763.63 × 4,747.31
  4. Step 4: Simplify right side
    8,524.14x = 55,845,583.63
  5. Step 5: Solve for x
    x = 55,845,583.63/8,524.14
  6. Step 6: Final answer
    x = 6,551.47

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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.