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Finding the Fourth Proportional to 27,661.68, 41,503.92 and 9,894.76

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Solution

The fourth proportional to 27,661.68, 41,503.92 and 9,894.76 is: 14,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.68 : 41,503.92 = 9,894.76 : x
  2. Step 2: Convert to fraction form
    27,661.68/41,503.92 = 9,894.76/x
  3. Step 3: Cross multiply
    27,661.68x = 41,503.92 × 9,894.76
  4. Step 4: Simplify right side
    27,661.68x = 410,671,327.46
  5. Step 5: Solve for x
    x = 410,671,327.46/27,661.68
  6. Step 6: Final answer
    x = 14,846.22

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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.