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Finding the Fourth Proportional to 7,437.82, 11,174.16 and 7,017.52

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Solution

The fourth proportional to 7,437.82, 11,174.16 and 7,017.52 is: 10,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.82 : 11,174.16 = 7,017.52 : x
  2. Step 2: Convert to fraction form
    7,437.82/11,174.16 = 7,017.52/x
  3. Step 3: Cross multiply
    7,437.82x = 11,174.16 × 7,017.52
  4. Step 4: Simplify right side
    7,437.82x = 78,414,891.28
  5. Step 5: Solve for x
    x = 78,414,891.28/7,437.82
  6. Step 6: Final answer
    x = 10,542.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.