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Finding the Fourth Proportional to 7,198.50, 9,933.93 and 4,214.19

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Solution

The fourth proportional to 7,198.50, 9,933.93 and 4,214.19 is: 5,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.50 : 9,933.93 = 4,214.19 : x
  2. Step 2: Convert to fraction form
    7,198.50/9,933.93 = 4,214.19/x
  3. Step 3: Cross multiply
    7,198.50x = 9,933.93 × 4,214.19
  4. Step 4: Simplify right side
    7,198.50x = 41,863,468.47
  5. Step 5: Solve for x
    x = 41,863,468.47/7,198.50
  6. Step 6: Final answer
    x = 5,815.58

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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.