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Finding the Fourth Proportional to 7,934.75, 11,940.24 and 6,539.22

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Solution

The fourth proportional to 7,934.75, 11,940.24 and 6,539.22 is: 9,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.75 : 11,940.24 = 6,539.22 : x
  2. Step 2: Convert to fraction form
    7,934.75/11,940.24 = 6,539.22/x
  3. Step 3: Cross multiply
    7,934.75x = 11,940.24 × 6,539.22
  4. Step 4: Simplify right side
    7,934.75x = 78,079,856.21
  5. Step 5: Solve for x
    x = 78,079,856.21/7,934.75
  6. Step 6: Final answer
    x = 9,840.25

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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.