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Finding the Fourth Proportional to 8,242.22, 12,334.98 and 6,927.24

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Solution

The fourth proportional to 8,242.22, 12,334.98 and 6,927.24 is: 10,367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.22 : 12,334.98 = 6,927.24 : x
  2. Step 2: Convert to fraction form
    8,242.22/12,334.98 = 6,927.24/x
  3. Step 3: Cross multiply
    8,242.22x = 12,334.98 × 6,927.24
  4. Step 4: Simplify right side
    8,242.22x = 85,447,366.86
  5. Step 5: Solve for x
    x = 85,447,366.86/8,242.22
  6. Step 6: Final answer
    x = 10,367.03

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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.