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Finding the Fourth Proportional to 9,205.56, 13,813.80 and 4,825.49

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Solution

The fourth proportional to 9,205.56, 13,813.80 and 4,825.49 is: 7,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.56 : 13,813.80 = 4,825.49 : x
  2. Step 2: Convert to fraction form
    9,205.56/13,813.80 = 4,825.49/x
  3. Step 3: Cross multiply
    9,205.56x = 13,813.80 × 4,825.49
  4. Step 4: Simplify right side
    9,205.56x = 66,658,284.69
  5. Step 5: Solve for x
    x = 66,658,284.69/9,205.56
  6. Step 6: Final answer
    x = 7,241.09

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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.