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Finding the Fourth Proportional to 7,262.32, 10,027.92 and 5,918.12

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Solution

The fourth proportional to 7,262.32, 10,027.92 and 5,918.12 is: 8,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.32 : 10,027.92 = 5,918.12 : x
  2. Step 2: Convert to fraction form
    7,262.32/10,027.92 = 5,918.12/x
  3. Step 3: Cross multiply
    7,262.32x = 10,027.92 × 5,918.12
  4. Step 4: Simplify right side
    7,262.32x = 59,346,433.91
  5. Step 5: Solve for x
    x = 59,346,433.91/7,262.32
  6. Step 6: Final answer
    x = 8,171.83

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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.