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Finding the Fourth Proportional to 9,202.88, 13,809.96 and 3,658.88

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Solution

The fourth proportional to 9,202.88, 13,809.96 and 3,658.88 is: 5,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.88 : 13,809.96 = 3,658.88 : x
  2. Step 2: Convert to fraction form
    9,202.88/13,809.96 = 3,658.88/x
  3. Step 3: Cross multiply
    9,202.88x = 13,809.96 × 3,658.88
  4. Step 4: Simplify right side
    9,202.88x = 50,528,986.44
  5. Step 5: Solve for x
    x = 50,528,986.44/9,202.88
  6. Step 6: Final answer
    x = 5,490.56

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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.