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Finding the Fourth Proportional to 9,029.90, 12,435.27 and 7,443.41

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Solution

The fourth proportional to 9,029.90, 12,435.27 and 7,443.41 is: 10,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.90 : 12,435.27 = 7,443.41 : x
  2. Step 2: Convert to fraction form
    9,029.90/12,435.27 = 7,443.41/x
  3. Step 3: Cross multiply
    9,029.90x = 12,435.27 × 7,443.41
  4. Step 4: Simplify right side
    9,029.90x = 92,560,775.85
  5. Step 5: Solve for x
    x = 92,560,775.85/9,029.90
  6. Step 6: Final answer
    x = 10,250.48

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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.