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Finding the Fourth Proportional to 7,309.92, 10,085.52 and 4,165.92

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Solution

The fourth proportional to 7,309.92, 10,085.52 and 4,165.92 is: 5,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.92 : 10,085.52 = 4,165.92 : x
  2. Step 2: Convert to fraction form
    7,309.92/10,085.52 = 4,165.92/x
  3. Step 3: Cross multiply
    7,309.92x = 10,085.52 × 4,165.92
  4. Step 4: Simplify right side
    7,309.92x = 42,015,469.48
  5. Step 5: Solve for x
    x = 42,015,469.48/7,309.92
  6. Step 6: Final answer
    x = 5,747.73

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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.