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Finding the Fourth Proportional to 6,496.22, 9,746.60 and 2,113.65

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Solution

The fourth proportional to 6,496.22, 9,746.60 and 2,113.65 is: 3,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.22 : 9,746.60 = 2,113.65 : x
  2. Step 2: Convert to fraction form
    6,496.22/9,746.60 = 2,113.65/x
  3. Step 3: Cross multiply
    6,496.22x = 9,746.60 × 2,113.65
  4. Step 4: Simplify right side
    6,496.22x = 20,600,890.52
  5. Step 5: Solve for x
    x = 20,600,890.52/6,496.22
  6. Step 6: Final answer
    x = 3,171.21

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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.