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Finding the Fourth Proportional to 5,969.70, 8,240.13 and 4,201.74

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Solution

The fourth proportional to 5,969.70, 8,240.13 and 4,201.74 is: 5,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.70 : 8,240.13 = 4,201.74 : x
  2. Step 2: Convert to fraction form
    5,969.70/8,240.13 = 4,201.74/x
  3. Step 3: Cross multiply
    5,969.70x = 8,240.13 × 4,201.74
  4. Step 4: Simplify right side
    5,969.70x = 34,622,883.83
  5. Step 5: Solve for x
    x = 34,622,883.83/5,969.70
  6. Step 6: Final answer
    x = 5,799.77

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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.