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Finding the Fourth Proportional to 10,914.60, 16,371.90 and 2,706.60

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Solution

The fourth proportional to 10,914.60, 16,371.90 and 2,706.60 is: 4,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.60 : 16,371.90 = 2,706.60 : x
  2. Step 2: Convert to fraction form
    10,914.60/16,371.90 = 2,706.60/x
  3. Step 3: Cross multiply
    10,914.60x = 16,371.90 × 2,706.60
  4. Step 4: Simplify right side
    10,914.60x = 44,312,184.54
  5. Step 5: Solve for x
    x = 44,312,184.54/10,914.60
  6. Step 6: Final answer
    x = 4,059.90

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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.