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Finding the Fourth Proportional to 27,164.46, 40,747.55 and 8,444.60

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Solution

The fourth proportional to 27,164.46, 40,747.55 and 8,444.60 is: 12,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.46 : 40,747.55 = 8,444.60 : x
  2. Step 2: Convert to fraction form
    27,164.46/40,747.55 = 8,444.60/x
  3. Step 3: Cross multiply
    27,164.46x = 40,747.55 × 8,444.60
  4. Step 4: Simplify right side
    27,164.46x = 344,096,514.77
  5. Step 5: Solve for x
    x = 344,096,514.77/27,164.46
  6. Step 6: Final answer
    x = 12,667.16

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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.