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Finding the Fourth Proportional to 8,523.12, 11,758.86 and 4,797.12

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Solution

The fourth proportional to 8,523.12, 11,758.86 and 4,797.12 is: 6,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.12 : 11,758.86 = 4,797.12 : x
  2. Step 2: Convert to fraction form
    8,523.12/11,758.86 = 4,797.12/x
  3. Step 3: Cross multiply
    8,523.12x = 11,758.86 × 4,797.12
  4. Step 4: Simplify right side
    8,523.12x = 56,408,662.48
  5. Step 5: Solve for x
    x = 56,408,662.48/8,523.12
  6. Step 6: Final answer
    x = 6,618.31

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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.