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Finding the Fourth Proportional to 10,811.56, 16,193.84 and 5,253.20

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Solution

The fourth proportional to 10,811.56, 16,193.84 and 5,253.20 is: 7,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.56 : 16,193.84 = 5,253.20 : x
  2. Step 2: Convert to fraction form
    10,811.56/16,193.84 = 5,253.20/x
  3. Step 3: Cross multiply
    10,811.56x = 16,193.84 × 5,253.20
  4. Step 4: Simplify right side
    10,811.56x = 85,069,480.29
  5. Step 5: Solve for x
    x = 85,069,480.29/10,811.56
  6. Step 6: Final answer
    x = 7,868.38

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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.