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Finding the Fourth Proportional to 27,667.52, 41,501.24 and 9,199.52

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Solution

The fourth proportional to 27,667.52, 41,501.24 and 9,199.52 is: 13,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.52 : 41,501.24 = 9,199.52 : x
  2. Step 2: Convert to fraction form
    27,667.52/41,501.24 = 9,199.52/x
  3. Step 3: Cross multiply
    27,667.52x = 41,501.24 × 9,199.52
  4. Step 4: Simplify right side
    27,667.52x = 381,791,487.40
  5. Step 5: Solve for x
    x = 381,791,487.40/27,667.52
  6. Step 6: Final answer
    x = 13,799.27

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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.