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Finding the Fourth Proportional to 7,614.95, 11,398.73 and 6,968.97

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Solution

The fourth proportional to 7,614.95, 11,398.73 and 6,968.97 is: 10,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.95 : 11,398.73 = 6,968.97 : x
  2. Step 2: Convert to fraction form
    7,614.95/11,398.73 = 6,968.97/x
  3. Step 3: Cross multiply
    7,614.95x = 11,398.73 × 6,968.97
  4. Step 4: Simplify right side
    7,614.95x = 79,437,372.56
  5. Step 5: Solve for x
    x = 79,437,372.56/7,614.95
  6. Step 6: Final answer
    x = 10,431.77

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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.