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Finding the Fourth Proportional to 7,842.83, 11,765.93 and 3,896.24

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Solution

The fourth proportional to 7,842.83, 11,765.93 and 3,896.24 is: 5,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.83 : 11,765.93 = 3,896.24 : x
  2. Step 2: Convert to fraction form
    7,842.83/11,765.93 = 3,896.24/x
  3. Step 3: Cross multiply
    7,842.83x = 11,765.93 × 3,896.24
  4. Step 4: Simplify right side
    7,842.83x = 45,842,808.79
  5. Step 5: Solve for x
    x = 45,842,808.79/7,842.83
  6. Step 6: Final answer
    x = 5,845.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.