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Finding the Fourth Proportional to 6,491.04, 9,734.36 and 2,107.41

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Solution

The fourth proportional to 6,491.04, 9,734.36 and 2,107.41 is: 3,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.04 : 9,734.36 = 2,107.41 : x
  2. Step 2: Convert to fraction form
    6,491.04/9,734.36 = 2,107.41/x
  3. Step 3: Cross multiply
    6,491.04x = 9,734.36 × 2,107.41
  4. Step 4: Simplify right side
    6,491.04x = 20,514,277.07
  5. Step 5: Solve for x
    x = 20,514,277.07/6,491.04
  6. Step 6: Final answer
    x = 3,160.40

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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.