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Finding the Fourth Proportional to 27,497.32, 41,221.08 and 9,954.76

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Solution

The fourth proportional to 27,497.32, 41,221.08 and 9,954.76 is: 14,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.32 : 41,221.08 = 9,954.76 : x
  2. Step 2: Convert to fraction form
    27,497.32/41,221.08 = 9,954.76/x
  3. Step 3: Cross multiply
    27,497.32x = 41,221.08 × 9,954.76
  4. Step 4: Simplify right side
    27,497.32x = 410,345,958.34
  5. Step 5: Solve for x
    x = 410,345,958.34/27,497.32
  6. Step 6: Final answer
    x = 14,923.13

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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.