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Finding the Fourth Proportional to 8,522.47, 11,759.62 and 4,745.62

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Solution

The fourth proportional to 8,522.47, 11,759.62 and 4,745.62 is: 6,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.47 : 11,759.62 = 4,745.62 : x
  2. Step 2: Convert to fraction form
    8,522.47/11,759.62 = 4,745.62/x
  3. Step 3: Cross multiply
    8,522.47x = 11,759.62 × 4,745.62
  4. Step 4: Simplify right side
    8,522.47x = 55,806,698.15
  5. Step 5: Solve for x
    x = 55,806,698.15/8,522.47
  6. Step 6: Final answer
    x = 6,548.19

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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.