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Finding the Fourth Proportional to 6,976.92, 9,628.16 and 3,790.16

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Solution

The fourth proportional to 6,976.92, 9,628.16 and 3,790.16 is: 5,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.92 : 9,628.16 = 3,790.16 : x
  2. Step 2: Convert to fraction form
    6,976.92/9,628.16 = 3,790.16/x
  3. Step 3: Cross multiply
    6,976.92x = 9,628.16 × 3,790.16
  4. Step 4: Simplify right side
    6,976.92x = 36,492,266.91
  5. Step 5: Solve for x
    x = 36,492,266.91/6,976.92
  6. Step 6: Final answer
    x = 5,230.43

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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.