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Finding the Fourth Proportional to 11,776.74, 17,707.20 and 10,863.60

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Solution

The fourth proportional to 11,776.74, 17,707.20 and 10,863.60 is: 16,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.74 : 17,707.20 = 10,863.60 : x
  2. Step 2: Convert to fraction form
    11,776.74/17,707.20 = 10,863.60/x
  3. Step 3: Cross multiply
    11,776.74x = 17,707.20 × 10,863.60
  4. Step 4: Simplify right side
    11,776.74x = 192,363,937.92
  5. Step 5: Solve for x
    x = 192,363,937.92/11,776.74
  6. Step 6: Final answer
    x = 16,334.23

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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.