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Finding the Fourth Proportional to 8,014.98, 12,024.63 and 7,243.86

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Solution

The fourth proportional to 8,014.98, 12,024.63 and 7,243.86 is: 10,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.98 : 12,024.63 = 7,243.86 : x
  2. Step 2: Convert to fraction form
    8,014.98/12,024.63 = 7,243.86/x
  3. Step 3: Cross multiply
    8,014.98x = 12,024.63 × 7,243.86
  4. Step 4: Simplify right side
    8,014.98x = 87,104,736.27
  5. Step 5: Solve for x
    x = 87,104,736.27/8,014.98
  6. Step 6: Final answer
    x = 10,867.74

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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.