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Finding the Fourth Proportional to 18,291.76, 27,432.22 and 7,761.64

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Solution

The fourth proportional to 18,291.76, 27,432.22 and 7,761.64 is: 11,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291.76 : 27,432.22 = 7,761.64 : x
  2. Step 2: Convert to fraction form
    18,291.76/27,432.22 = 7,761.64/x
  3. Step 3: Cross multiply
    18,291.76x = 27,432.22 × 7,761.64
  4. Step 4: Simplify right side
    18,291.76x = 212,919,016.04
  5. Step 5: Solve for x
    x = 212,919,016.04/18,291.76
  6. Step 6: Final answer
    x = 11,640.16

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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.