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Finding the Fourth Proportional to 6,412.23, 9,615 and 2,900.56

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Solution

The fourth proportional to 6,412.23, 9,615 and 2,900.56 is: 4,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.23 : 9,615 = 2,900.56 : x
  2. Step 2: Convert to fraction form
    6,412.23/9,615 = 2,900.56/x
  3. Step 3: Cross multiply
    6,412.23x = 9,615 × 2,900.56
  4. Step 4: Simplify right side
    6,412.23x = 27,888,884.40
  5. Step 5: Solve for x
    x = 27,888,884.40/6,412.23
  6. Step 6: Final answer
    x = 4,349.33

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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.