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Finding the Fourth Proportional to 7,227.27, 9,973.71 and 4,243.14

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Solution

The fourth proportional to 7,227.27, 9,973.71 and 4,243.14 is: 5,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.27 : 9,973.71 = 4,243.14 : x
  2. Step 2: Convert to fraction form
    7,227.27/9,973.71 = 4,243.14/x
  3. Step 3: Cross multiply
    7,227.27x = 9,973.71 × 4,243.14
  4. Step 4: Simplify right side
    7,227.27x = 42,319,847.85
  5. Step 5: Solve for x
    x = 42,319,847.85/7,227.27
  6. Step 6: Final answer
    x = 5,855.58

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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.