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Finding the Fourth Proportional to 10,945.80, 16,418.70 and 9,520.20

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Solution

The fourth proportional to 10,945.80, 16,418.70 and 9,520.20 is: 14,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.80 : 16,418.70 = 9,520.20 : x
  2. Step 2: Convert to fraction form
    10,945.80/16,418.70 = 9,520.20/x
  3. Step 3: Cross multiply
    10,945.80x = 16,418.70 × 9,520.20
  4. Step 4: Simplify right side
    10,945.80x = 156,309,307.74
  5. Step 5: Solve for x
    x = 156,309,307.74/10,945.80
  6. Step 6: Final answer
    x = 14,280.30

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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.