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Finding the Fourth Proportional to 7,198.17, 9,935.96 and 4,214.96

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Solution

The fourth proportional to 7,198.17, 9,935.96 and 4,214.96 is: 5,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.17 : 9,935.96 = 4,214.96 : x
  2. Step 2: Convert to fraction form
    7,198.17/9,935.96 = 4,214.96/x
  3. Step 3: Cross multiply
    7,198.17x = 9,935.96 × 4,214.96
  4. Step 4: Simplify right side
    7,198.17x = 41,879,640.47
  5. Step 5: Solve for x
    x = 41,879,640.47/7,198.17
  6. Step 6: Final answer
    x = 5,818.10

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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.