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Finding the Fourth Proportional to 6,427.76, 9,639 and 2,044.04

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Solution

The fourth proportional to 6,427.76, 9,639 and 2,044.04 is: 3,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.76 : 9,639 = 2,044.04 : x
  2. Step 2: Convert to fraction form
    6,427.76/9,639 = 2,044.04/x
  3. Step 3: Cross multiply
    6,427.76x = 9,639 × 2,044.04
  4. Step 4: Simplify right side
    6,427.76x = 19,702,453.37
  5. Step 5: Solve for x
    x = 19,702,453.37/6,427.76
  6. Step 6: Final answer
    x = 3,065.22

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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.