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Finding the Fourth Proportional to 7,486.52, 11,222.44 and 6,378.44

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Solution

The fourth proportional to 7,486.52, 11,222.44 and 6,378.44 is: 9,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.52 : 11,222.44 = 6,378.44 : x
  2. Step 2: Convert to fraction form
    7,486.52/11,222.44 = 6,378.44/x
  3. Step 3: Cross multiply
    7,486.52x = 11,222.44 × 6,378.44
  4. Step 4: Simplify right side
    7,486.52x = 71,581,660.19
  5. Step 5: Solve for x
    x = 71,581,660.19/7,486.52
  6. Step 6: Final answer
    x = 9,561.41

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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.