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Finding the Fourth Proportional to 9,500.80, 14,250.64 and 2,574.76

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Solution

The fourth proportional to 9,500.80, 14,250.64 and 2,574.76 is: 3,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.80 : 14,250.64 = 2,574.76 : x
  2. Step 2: Convert to fraction form
    9,500.80/14,250.64 = 2,574.76/x
  3. Step 3: Cross multiply
    9,500.80x = 14,250.64 × 2,574.76
  4. Step 4: Simplify right side
    9,500.80x = 36,691,977.85
  5. Step 5: Solve for x
    x = 36,691,977.85/9,500.80
  6. Step 6: Final answer
    x = 3,861.99

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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.