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Finding the Fourth Proportional to 8,523.60, 11,760.52 and 4,797.60

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Solution

The fourth proportional to 8,523.60, 11,760.52 and 4,797.60 is: 6,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.60 : 11,760.52 = 4,797.60 : x
  2. Step 2: Convert to fraction form
    8,523.60/11,760.52 = 4,797.60/x
  3. Step 3: Cross multiply
    8,523.60x = 11,760.52 × 4,797.60
  4. Step 4: Simplify right side
    8,523.60x = 56,422,270.75
  5. Step 5: Solve for x
    x = 56,422,270.75/8,523.60
  6. Step 6: Final answer
    x = 6,619.54

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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.