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Finding the Fourth Proportional to 6,404.23, 9,606 and 2,457.38

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Solution

The fourth proportional to 6,404.23, 9,606 and 2,457.38 is: 3,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.23 : 9,606 = 2,457.38 : x
  2. Step 2: Convert to fraction form
    6,404.23/9,606 = 2,457.38/x
  3. Step 3: Cross multiply
    6,404.23x = 9,606 × 2,457.38
  4. Step 4: Simplify right side
    6,404.23x = 23,605,592.28
  5. Step 5: Solve for x
    x = 23,605,592.28/6,404.23
  6. Step 6: Final answer
    x = 3,685.94

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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.