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Finding the Fourth Proportional to 10,049.70, 13,866.21 and 5,858.22

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Solution

The fourth proportional to 10,049.70, 13,866.21 and 5,858.22 is: 8,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.70 : 13,866.21 = 5,858.22 : x
  2. Step 2: Convert to fraction form
    10,049.70/13,866.21 = 5,858.22/x
  3. Step 3: Cross multiply
    10,049.70x = 13,866.21 × 5,858.22
  4. Step 4: Simplify right side
    10,049.70x = 81,231,308.75
  5. Step 5: Solve for x
    x = 81,231,308.75/10,049.70
  6. Step 6: Final answer
    x = 8,082.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.