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Finding the Fourth Proportional to 7,226.92, 9,973.76 and 4,083.68

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Solution

The fourth proportional to 7,226.92, 9,973.76 and 4,083.68 is: 5,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.92 : 9,973.76 = 4,083.68 : x
  2. Step 2: Convert to fraction form
    7,226.92/9,973.76 = 4,083.68/x
  3. Step 3: Cross multiply
    7,226.92x = 9,973.76 × 4,083.68
  4. Step 4: Simplify right side
    7,226.92x = 40,729,644.24
  5. Step 5: Solve for x
    x = 40,729,644.24/7,226.92
  6. Step 6: Final answer
    x = 5,635.82

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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.