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Finding the Fourth Proportional to 21,205.75, 31,813.49 and 7,354.75

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Solution

The fourth proportional to 21,205.75, 31,813.49 and 7,354.75 is: 11,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.75 : 31,813.49 = 7,354.75 : x
  2. Step 2: Convert to fraction form
    21,205.75/31,813.49 = 7,354.75/x
  3. Step 3: Cross multiply
    21,205.75x = 31,813.49 × 7,354.75
  4. Step 4: Simplify right side
    21,205.75x = 233,980,265.58
  5. Step 5: Solve for x
    x = 233,980,265.58/21,205.75
  6. Step 6: Final answer
    x = 11,033.81

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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.