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Finding the Fourth Proportional to 7,198.68, 9,933.48 and 4,214.16

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Solution

The fourth proportional to 7,198.68, 9,933.48 and 4,214.16 is: 5,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.68 : 9,933.48 = 4,214.16 : x
  2. Step 2: Convert to fraction form
    7,198.68/9,933.48 = 4,214.16/x
  3. Step 3: Cross multiply
    7,198.68x = 9,933.48 × 4,214.16
  4. Step 4: Simplify right side
    7,198.68x = 41,861,274.08
  5. Step 5: Solve for x
    x = 41,861,274.08/7,198.68
  6. Step 6: Final answer
    x = 5,815.13

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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.