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Finding the Fourth Proportional to 9,283.29, 12,811.41 and 5,923.41

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Solution

The fourth proportional to 9,283.29, 12,811.41 and 5,923.41 is: 8,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.29 : 12,811.41 = 5,923.41 : x
  2. Step 2: Convert to fraction form
    9,283.29/12,811.41 = 5,923.41/x
  3. Step 3: Cross multiply
    9,283.29x = 12,811.41 × 5,923.41
  4. Step 4: Simplify right side
    9,283.29x = 75,887,234.11
  5. Step 5: Solve for x
    x = 75,887,234.11/9,283.29
  6. Step 6: Final answer
    x = 8,174.61

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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.