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Finding the Fourth Proportional to 8,124.44, 12,203.92 and 7,650.44

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Solution

The fourth proportional to 8,124.44, 12,203.92 and 7,650.44 is: 11,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.44 : 12,203.92 = 7,650.44 : x
  2. Step 2: Convert to fraction form
    8,124.44/12,203.92 = 7,650.44/x
  3. Step 3: Cross multiply
    8,124.44x = 12,203.92 × 7,650.44
  4. Step 4: Simplify right side
    8,124.44x = 93,365,296.71
  5. Step 5: Solve for x
    x = 93,365,296.71/8,124.44
  6. Step 6: Final answer
    x = 11,491.91

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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.