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Finding the Fourth Proportional to 10,801.80, 16,202.70 and 8,177.40

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Solution

The fourth proportional to 10,801.80, 16,202.70 and 8,177.40 is: 12,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.80 : 16,202.70 = 8,177.40 : x
  2. Step 2: Convert to fraction form
    10,801.80/16,202.70 = 8,177.40/x
  3. Step 3: Cross multiply
    10,801.80x = 16,202.70 × 8,177.40
  4. Step 4: Simplify right side
    10,801.80x = 132,495,958.98
  5. Step 5: Solve for x
    x = 132,495,958.98/10,801.80
  6. Step 6: Final answer
    x = 12,266.10

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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.