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Finding the Fourth Proportional to 8,289.82, 11,440.47 and 4,563.82

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Solution

The fourth proportional to 8,289.82, 11,440.47 and 4,563.82 is: 6,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.82 : 11,440.47 = 4,563.82 : x
  2. Step 2: Convert to fraction form
    8,289.82/11,440.47 = 4,563.82/x
  3. Step 3: Cross multiply
    8,289.82x = 11,440.47 × 4,563.82
  4. Step 4: Simplify right side
    8,289.82x = 52,212,245.80
  5. Step 5: Solve for x
    x = 52,212,245.80/8,289.82
  6. Step 6: Final answer
    x = 6,298.36

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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.