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Finding the Fourth Proportional to 6,497.13, 9,743.49 and 2,113.50

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Solution

The fourth proportional to 6,497.13, 9,743.49 and 2,113.50 is: 3,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.13 : 9,743.49 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    6,497.13/9,743.49 = 2,113.50/x
  3. Step 3: Cross multiply
    6,497.13x = 9,743.49 × 2,113.50
  4. Step 4: Simplify right side
    6,497.13x = 20,592,866.12
  5. Step 5: Solve for x
    x = 20,592,866.12/6,497.13
  6. Step 6: Final answer
    x = 3,169.53

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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.