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Finding the Fourth Proportional to 11,022.70, 16,534.02 and 2,814.70

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Solution

The fourth proportional to 11,022.70, 16,534.02 and 2,814.70 is: 4,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.70 : 16,534.02 = 2,814.70 : x
  2. Step 2: Convert to fraction form
    11,022.70/16,534.02 = 2,814.70/x
  3. Step 3: Cross multiply
    11,022.70x = 16,534.02 × 2,814.70
  4. Step 4: Simplify right side
    11,022.70x = 46,538,306.09
  5. Step 5: Solve for x
    x = 46,538,306.09/11,022.70
  6. Step 6: Final answer
    x = 4,222.04

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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.