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Finding the Fourth Proportional to 7,751.85, 11,624.22 and 4,243.05

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Solution

The fourth proportional to 7,751.85, 11,624.22 and 4,243.05 is: 6,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.85 : 11,624.22 = 4,243.05 : x
  2. Step 2: Convert to fraction form
    7,751.85/11,624.22 = 4,243.05/x
  3. Step 3: Cross multiply
    7,751.85x = 11,624.22 × 4,243.05
  4. Step 4: Simplify right side
    7,751.85x = 49,322,146.67
  5. Step 5: Solve for x
    x = 49,322,146.67/7,751.85
  6. Step 6: Final answer
    x = 6,362.63

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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.