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Finding the Fourth Proportional to 10,857.20, 16,273.20 and 5,014.40

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Solution

The fourth proportional to 10,857.20, 16,273.20 and 5,014.40 is: 7,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.20 : 16,273.20 = 5,014.40 : x
  2. Step 2: Convert to fraction form
    10,857.20/16,273.20 = 5,014.40/x
  3. Step 3: Cross multiply
    10,857.20x = 16,273.20 × 5,014.40
  4. Step 4: Simplify right side
    10,857.20x = 81,600,334.08
  5. Step 5: Solve for x
    x = 81,600,334.08/10,857.20
  6. Step 6: Final answer
    x = 7,515.78

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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.