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Finding the Fourth Proportional to 6,415.11, 9,623.70 and 2,254.01

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Solution

The fourth proportional to 6,415.11, 9,623.70 and 2,254.01 is: 3,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.11 : 9,623.70 = 2,254.01 : x
  2. Step 2: Convert to fraction form
    6,415.11/9,623.70 = 2,254.01/x
  3. Step 3: Cross multiply
    6,415.11x = 9,623.70 × 2,254.01
  4. Step 4: Simplify right side
    6,415.11x = 21,691,867.92
  5. Step 5: Solve for x
    x = 21,691,867.92/6,415.11
  6. Step 6: Final answer
    x = 3,381.37

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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.