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Finding the Fourth Proportional to 8,021.88, 12,023.24 and 4,513.50

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Solution

The fourth proportional to 8,021.88, 12,023.24 and 4,513.50 is: 6,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.88 : 12,023.24 = 4,513.50 : x
  2. Step 2: Convert to fraction form
    8,021.88/12,023.24 = 4,513.50/x
  3. Step 3: Cross multiply
    8,021.88x = 12,023.24 × 4,513.50
  4. Step 4: Simplify right side
    8,021.88x = 54,266,871.17
  5. Step 5: Solve for x
    x = 54,266,871.17/8,021.88
  6. Step 6: Final answer
    x = 6,764.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.