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Finding the Fourth Proportional to 9,208.57, 13,803 and 3,654.22

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Solution

The fourth proportional to 9,208.57, 13,803 and 3,654.22 is: 5,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.57 : 13,803 = 3,654.22 : x
  2. Step 2: Convert to fraction form
    9,208.57/13,803 = 3,654.22/x
  3. Step 3: Cross multiply
    9,208.57x = 13,803 × 3,654.22
  4. Step 4: Simplify right side
    9,208.57x = 50,439,198.66
  5. Step 5: Solve for x
    x = 50,439,198.66/9,208.57
  6. Step 6: Final answer
    x = 5,477.42

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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.