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Finding the Fourth Proportional to 7,230.92, 9,976.98 and 4,086.68

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Solution

The fourth proportional to 7,230.92, 9,976.98 and 4,086.68 is: 5,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.92 : 9,976.98 = 4,086.68 : x
  2. Step 2: Convert to fraction form
    7,230.92/9,976.98 = 4,086.68/x
  3. Step 3: Cross multiply
    7,230.92x = 9,976.98 × 4,086.68
  4. Step 4: Simplify right side
    7,230.92x = 40,772,724.63
  5. Step 5: Solve for x
    x = 40,772,724.63/7,230.92
  6. Step 6: Final answer
    x = 5,638.66

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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.