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Finding the Fourth Proportional to 10,965.40, 16,448.10 and 8,027.80

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Solution

The fourth proportional to 10,965.40, 16,448.10 and 8,027.80 is: 12,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.40 : 16,448.10 = 8,027.80 : x
  2. Step 2: Convert to fraction form
    10,965.40/16,448.10 = 8,027.80/x
  3. Step 3: Cross multiply
    10,965.40x = 16,448.10 × 8,027.80
  4. Step 4: Simplify right side
    10,965.40x = 132,042,057.18
  5. Step 5: Solve for x
    x = 132,042,057.18/10,965.40
  6. Step 6: Final answer
    x = 12,041.70

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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.