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Finding the Fourth Proportional to 11,166.80, 16,725.90 and 7,230.20

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Solution

The fourth proportional to 11,166.80, 16,725.90 and 7,230.20 is: 10,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.80 : 16,725.90 = 7,230.20 : x
  2. Step 2: Convert to fraction form
    11,166.80/16,725.90 = 7,230.20/x
  3. Step 3: Cross multiply
    11,166.80x = 16,725.90 × 7,230.20
  4. Step 4: Simplify right side
    11,166.80x = 120,931,602.18
  5. Step 5: Solve for x
    x = 120,931,602.18/11,166.80
  6. Step 6: Final answer
    x = 10,829.57

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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.