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Finding the Fourth Proportional to 7,487.76, 11,231.46 and 2,293.68

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Solution

The fourth proportional to 7,487.76, 11,231.46 and 2,293.68 is: 3,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.76 : 11,231.46 = 2,293.68 : x
  2. Step 2: Convert to fraction form
    7,487.76/11,231.46 = 2,293.68/x
  3. Step 3: Cross multiply
    7,487.76x = 11,231.46 × 2,293.68
  4. Step 4: Simplify right side
    7,487.76x = 25,761,375.17
  5. Step 5: Solve for x
    x = 25,761,375.17/7,487.76
  6. Step 6: Final answer
    x = 3,440.46

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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.