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Finding the Fourth Proportional to 11,706.76, 16,154.94 and 6,671.80

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Solution

The fourth proportional to 11,706.76, 16,154.94 and 6,671.80 is: 9,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.76 : 16,154.94 = 6,671.80 : x
  2. Step 2: Convert to fraction form
    11,706.76/16,154.94 = 6,671.80/x
  3. Step 3: Cross multiply
    11,706.76x = 16,154.94 × 6,671.80
  4. Step 4: Simplify right side
    11,706.76x = 107,782,528.69
  5. Step 5: Solve for x
    x = 107,782,528.69/11,706.76
  6. Step 6: Final answer
    x = 9,206.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.