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Finding the Fourth Proportional to 9,092.87, 12,548.11 and 5,114.03

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Solution

The fourth proportional to 9,092.87, 12,548.11 and 5,114.03 is: 7,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.87 : 12,548.11 = 5,114.03 : x
  2. Step 2: Convert to fraction form
    9,092.87/12,548.11 = 5,114.03/x
  3. Step 3: Cross multiply
    9,092.87x = 12,548.11 × 5,114.03
  4. Step 4: Simplify right side
    9,092.87x = 64,171,416.78
  5. Step 5: Solve for x
    x = 64,171,416.78/9,092.87
  6. Step 6: Final answer
    x = 7,057.33

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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.