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Finding the Fourth Proportional to 9,149.92, 12,625.14 and 5,793.28

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Solution

The fourth proportional to 9,149.92, 12,625.14 and 5,793.28 is: 7,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.92 : 12,625.14 = 5,793.28 : x
  2. Step 2: Convert to fraction form
    9,149.92/12,625.14 = 5,793.28/x
  3. Step 3: Cross multiply
    9,149.92x = 12,625.14 × 5,793.28
  4. Step 4: Simplify right side
    9,149.92x = 73,140,971.06
  5. Step 5: Solve for x
    x = 73,140,971.06/9,149.92
  6. Step 6: Final answer
    x = 7,993.62

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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.