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Finding the Fourth Proportional to 6,842.21, 10,258.52 and 3,502.24

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Solution

The fourth proportional to 6,842.21, 10,258.52 and 3,502.24 is: 5,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.21 : 10,258.52 = 3,502.24 : x
  2. Step 2: Convert to fraction form
    6,842.21/10,258.52 = 3,502.24/x
  3. Step 3: Cross multiply
    6,842.21x = 10,258.52 × 3,502.24
  4. Step 4: Simplify right side
    6,842.21x = 35,927,755.93
  5. Step 5: Solve for x
    x = 35,927,755.93/6,842.21
  6. Step 6: Final answer
    x = 5,250.90

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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.