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Finding the Fourth Proportional to 9,200.02, 13,795.17 and 3,653.14

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Solution

The fourth proportional to 9,200.02, 13,795.17 and 3,653.14 is: 5,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.02 : 13,795.17 = 3,653.14 : x
  2. Step 2: Convert to fraction form
    9,200.02/13,795.17 = 3,653.14/x
  3. Step 3: Cross multiply
    9,200.02x = 13,795.17 × 3,653.14
  4. Step 4: Simplify right side
    9,200.02x = 50,395,687.33
  5. Step 5: Solve for x
    x = 50,395,687.33/9,200.02
  6. Step 6: Final answer
    x = 5,477.78

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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.