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Finding the Fourth Proportional to 7,456.94, 11,197.70 and 6,743.42

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Solution

The fourth proportional to 7,456.94, 11,197.70 and 6,743.42 is: 10,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.94 : 11,197.70 = 6,743.42 : x
  2. Step 2: Convert to fraction form
    7,456.94/11,197.70 = 6,743.42/x
  3. Step 3: Cross multiply
    7,456.94x = 11,197.70 × 6,743.42
  4. Step 4: Simplify right side
    7,456.94x = 75,510,794.13
  5. Step 5: Solve for x
    x = 75,510,794.13/7,456.94
  6. Step 6: Final answer
    x = 10,126.24

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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.