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Finding the Fourth Proportional to 7,197.94, 9,933.87 and 4,213.60

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Solution

The fourth proportional to 7,197.94, 9,933.87 and 4,213.60 is: 5,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.94 : 9,933.87 = 4,213.60 : x
  2. Step 2: Convert to fraction form
    7,197.94/9,933.87 = 4,213.60/x
  3. Step 3: Cross multiply
    7,197.94x = 9,933.87 × 4,213.60
  4. Step 4: Simplify right side
    7,197.94x = 41,857,354.63
  5. Step 5: Solve for x
    x = 41,857,354.63/7,197.94
  6. Step 6: Final answer
    x = 5,815.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.