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Finding the Fourth Proportional to 8,546.96, 11,776.52 and 5,747.60

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Solution

The fourth proportional to 8,546.96, 11,776.52 and 5,747.60 is: 7,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.96 : 11,776.52 = 5,747.60 : x
  2. Step 2: Convert to fraction form
    8,546.96/11,776.52 = 5,747.60/x
  3. Step 3: Cross multiply
    8,546.96x = 11,776.52 × 5,747.60
  4. Step 4: Simplify right side
    8,546.96x = 67,686,726.35
  5. Step 5: Solve for x
    x = 67,686,726.35/8,546.96
  6. Step 6: Final answer
    x = 7,919.39

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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.