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Finding the Fourth Proportional to 6,832.04, 9,427.74 and 4,037

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Solution

The fourth proportional to 6,832.04, 9,427.74 and 4,037 is: 5,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.04 : 9,427.74 = 4,037 : x
  2. Step 2: Convert to fraction form
    6,832.04/9,427.74 = 4,037/x
  3. Step 3: Cross multiply
    6,832.04x = 9,427.74 × 4,037
  4. Step 4: Simplify right side
    6,832.04x = 38,059,786.38
  5. Step 5: Solve for x
    x = 38,059,786.38/6,832.04
  6. Step 6: Final answer
    x = 5,570.78

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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.